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Finding the Fourth Proportional to 1,802.91, 2,489.15 and 1,472.12

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Solution

The fourth proportional to 1,802.91, 2,489.15 and 1,472.12 is: 2,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.91 : 2,489.15 = 1,472.12 : x
  2. Step 2: Convert to fraction form
    1,802.91/2,489.15 = 1,472.12/x
  3. Step 3: Cross multiply
    1,802.91x = 2,489.15 × 1,472.12
  4. Step 4: Simplify right side
    1,802.91x = 3,664,307.69
  5. Step 5: Solve for x
    x = 3,664,307.69/1,802.91
  6. Step 6: Final answer
    x = 2,032.44

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