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Finding the Fourth Proportional to 1,729, 2,592.60 and 1,531.84

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Solution

The fourth proportional to 1,729, 2,592.60 and 1,531.84 is: 2,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729 : 2,592.60 = 1,531.84 : x
  2. Step 2: Convert to fraction form
    1,729/2,592.60 = 1,531.84/x
  3. Step 3: Cross multiply
    1,729x = 2,592.60 × 1,531.84
  4. Step 4: Simplify right side
    1,729x = 3,971,448.38
  5. Step 5: Solve for x
    x = 3,971,448.38/1,729
  6. Step 6: Final answer
    x = 2,296.96

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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.