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Finding the Fourth Proportional to 3,132.44, 4,697.02 and 1,743.70

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Solution

The fourth proportional to 3,132.44, 4,697.02 and 1,743.70 is: 2,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.44 : 4,697.02 = 1,743.70 : x
  2. Step 2: Convert to fraction form
    3,132.44/4,697.02 = 1,743.70/x
  3. Step 3: Cross multiply
    3,132.44x = 4,697.02 × 1,743.70
  4. Step 4: Simplify right side
    3,132.44x = 8,190,193.77
  5. Step 5: Solve for x
    x = 8,190,193.77/3,132.44
  6. Step 6: Final answer
    x = 2,614.64

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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.