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Finding the Fourth Proportional to 1,729.34, 2,591.57 and 753.39

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Solution

The fourth proportional to 1,729.34, 2,591.57 and 753.39 is: 1,129.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.34 : 2,591.57 = 753.39 : x
  2. Step 2: Convert to fraction form
    1,729.34/2,591.57 = 753.39/x
  3. Step 3: Cross multiply
    1,729.34x = 2,591.57 × 753.39
  4. Step 4: Simplify right side
    1,729.34x = 1,952,464.81
  5. Step 5: Solve for x
    x = 1,952,464.81/1,729.34
  6. Step 6: Final answer
    x = 1,129.03

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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.