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Finding the Fourth Proportional to 2,507.61, 3,761.93 and 1,727.99

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Solution

The fourth proportional to 2,507.61, 3,761.93 and 1,727.99 is: 2,592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.61 : 3,761.93 = 1,727.99 : x
  2. Step 2: Convert to fraction form
    2,507.61/3,761.93 = 1,727.99/x
  3. Step 3: Cross multiply
    2,507.61x = 3,761.93 × 1,727.99
  4. Step 4: Simplify right side
    2,507.61x = 6,500,549.97
  5. Step 5: Solve for x
    x = 6,500,549.97/2,507.61
  6. Step 6: Final answer
    x = 2,592.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.