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Finding the Fourth Proportional to 2,781.31, 3,838.21 and 1,602.61

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Solution

The fourth proportional to 2,781.31, 3,838.21 and 1,602.61 is: 2,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.31 : 3,838.21 = 1,602.61 : x
  2. Step 2: Convert to fraction form
    2,781.31/3,838.21 = 1,602.61/x
  3. Step 3: Cross multiply
    2,781.31x = 3,838.21 × 1,602.61
  4. Step 4: Simplify right side
    2,781.31x = 6,151,153.73
  5. Step 5: Solve for x
    x = 6,151,153.73/2,781.31
  6. Step 6: Final answer
    x = 2,211.60

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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.