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Finding the Fourth Proportional to 2,781.53, 4,155.95 and 2,684.62

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Solution

The fourth proportional to 2,781.53, 4,155.95 and 2,684.62 is: 4,011.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.53 : 4,155.95 = 2,684.62 : x
  2. Step 2: Convert to fraction form
    2,781.53/4,155.95 = 2,684.62/x
  3. Step 3: Cross multiply
    2,781.53x = 4,155.95 × 2,684.62
  4. Step 4: Simplify right side
    2,781.53x = 11,157,139.78
  5. Step 5: Solve for x
    x = 11,157,139.78/2,781.53
  6. Step 6: Final answer
    x = 4,011.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.