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Finding the Fourth Proportional to 1,726.91, 2,588.92 and 752.28

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Solution

The fourth proportional to 1,726.91, 2,588.92 and 752.28 is: 1,127.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.91 : 2,588.92 = 752.28 : x
  2. Step 2: Convert to fraction form
    1,726.91/2,588.92 = 752.28/x
  3. Step 3: Cross multiply
    1,726.91x = 2,588.92 × 752.28
  4. Step 4: Simplify right side
    1,726.91x = 1,947,590.86
  5. Step 5: Solve for x
    x = 1,947,590.86/1,726.91
  6. Step 6: Final answer
    x = 1,127.79

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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.