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Finding the Fourth Proportional to 2,770.81, 4,156.22 and 823

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Solution

The fourth proportional to 2,770.81, 4,156.22 and 823 is: 1,234.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.81 : 4,156.22 = 823 : x
  2. Step 2: Convert to fraction form
    2,770.81/4,156.22 = 823/x
  3. Step 3: Cross multiply
    2,770.81x = 4,156.22 × 823
  4. Step 4: Simplify right side
    2,770.81x = 3,420,569.06
  5. Step 5: Solve for x
    x = 3,420,569.06/2,770.81
  6. Step 6: Final answer
    x = 1,234.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,771.81, 4,157.72 and 824
Similar ratio
Find fourth proportional to 4,156.22, 6,234.33 and 1,234.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.