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Finding the Fourth Proportional to 2,701.29, 3,727.78 and 1,459.29

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Solution

The fourth proportional to 2,701.29, 3,727.78 and 1,459.29 is: 2,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.29 : 3,727.78 = 1,459.29 : x
  2. Step 2: Convert to fraction form
    2,701.29/3,727.78 = 1,459.29/x
  3. Step 3: Cross multiply
    2,701.29x = 3,727.78 × 1,459.29
  4. Step 4: Simplify right side
    2,701.29x = 5,439,917.75
  5. Step 5: Solve for x
    x = 5,439,917.75/2,701.29
  6. Step 6: Final answer
    x = 2,013.82

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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.