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Finding the Fourth Proportional to 2,781.01, 3,836.89 and 1,984.47

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Solution

The fourth proportional to 2,781.01, 3,836.89 and 1,984.47 is: 2,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.01 : 3,836.89 = 1,984.47 : x
  2. Step 2: Convert to fraction form
    2,781.01/3,836.89 = 1,984.47/x
  3. Step 3: Cross multiply
    2,781.01x = 3,836.89 × 1,984.47
  4. Step 4: Simplify right side
    2,781.01x = 7,614,193.10
  5. Step 5: Solve for x
    x = 7,614,193.10/2,781.01
  6. Step 6: Final answer
    x = 2,737.92

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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.