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Finding the Fourth Proportional to 1,726.43, 2,589.57 and 686.39

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Solution

The fourth proportional to 1,726.43, 2,589.57 and 686.39 is: 1,029.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.43 : 2,589.57 = 686.39 : x
  2. Step 2: Convert to fraction form
    1,726.43/2,589.57 = 686.39/x
  3. Step 3: Cross multiply
    1,726.43x = 2,589.57 × 686.39
  4. Step 4: Simplify right side
    1,726.43x = 1,777,442.00
  5. Step 5: Solve for x
    x = 1,777,442.00/1,726.43
  6. Step 6: Final answer
    x = 1,029.55

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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.