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Finding the Fourth Proportional to 1,847.18, 2,770.80 and 549.02

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Solution

The fourth proportional to 1,847.18, 2,770.80 and 549.02 is: 823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.18 : 2,770.80 = 549.02 : x
  2. Step 2: Convert to fraction form
    1,847.18/2,770.80 = 549.02/x
  3. Step 3: Cross multiply
    1,847.18x = 2,770.80 × 549.02
  4. Step 4: Simplify right side
    1,847.18x = 1,521,224.62
  5. Step 5: Solve for x
    x = 1,521,224.62/1,847.18
  6. Step 6: Final answer
    x = 823.54

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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.