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Finding the Fourth Proportional to 1,727.38, 2,588.91 and 903.61

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Solution

The fourth proportional to 1,727.38, 2,588.91 and 903.61 is: 1,354.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.38 : 2,588.91 = 903.61 : x
  2. Step 2: Convert to fraction form
    1,727.38/2,588.91 = 903.61/x
  3. Step 3: Cross multiply
    1,727.38x = 2,588.91 × 903.61
  4. Step 4: Simplify right side
    1,727.38x = 2,339,364.97
  5. Step 5: Solve for x
    x = 2,339,364.97/1,727.38
  6. Step 6: Final answer
    x = 1,354.29

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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.