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Finding the Fourth Proportional to 1,729.52, 2,594.27 and 1,381.22

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Solution

The fourth proportional to 1,729.52, 2,594.27 and 1,381.22 is: 2,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.52 : 2,594.27 = 1,381.22 : x
  2. Step 2: Convert to fraction form
    1,729.52/2,594.27 = 1,381.22/x
  3. Step 3: Cross multiply
    1,729.52x = 2,594.27 × 1,381.22
  4. Step 4: Simplify right side
    1,729.52x = 3,583,257.61
  5. Step 5: Solve for x
    x = 3,583,257.61/1,729.52
  6. Step 6: Final answer
    x = 2,071.82

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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.