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Finding the Fourth Proportional to 2,822.76, 4,234.14 and 770.76

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Solution

The fourth proportional to 2,822.76, 4,234.14 and 770.76 is: 1,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.76 : 4,234.14 = 770.76 : x
  2. Step 2: Convert to fraction form
    2,822.76/4,234.14 = 770.76/x
  3. Step 3: Cross multiply
    2,822.76x = 4,234.14 × 770.76
  4. Step 4: Simplify right side
    2,822.76x = 3,263,505.75
  5. Step 5: Solve for x
    x = 3,263,505.75/2,822.76
  6. Step 6: Final answer
    x = 1,156.14

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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.