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Finding the Fourth Proportional to 1,842.97, 2,543.84 and 1,472.53

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Solution

The fourth proportional to 1,842.97, 2,543.84 and 1,472.53 is: 2,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.97 : 2,543.84 = 1,472.53 : x
  2. Step 2: Convert to fraction form
    1,842.97/2,543.84 = 1,472.53/x
  3. Step 3: Cross multiply
    1,842.97x = 2,543.84 × 1,472.53
  4. Step 4: Simplify right side
    1,842.97x = 3,745,873.35
  5. Step 5: Solve for x
    x = 3,745,873.35/1,842.97
  6. Step 6: Final answer
    x = 2,032.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.