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Finding the Fourth Proportional to 3,132.75, 4,697.31 and 1,377.69

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Solution

The fourth proportional to 3,132.75, 4,697.31 and 1,377.69 is: 2,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.75 : 4,697.31 = 1,377.69 : x
  2. Step 2: Convert to fraction form
    3,132.75/4,697.31 = 1,377.69/x
  3. Step 3: Cross multiply
    3,132.75x = 4,697.31 × 1,377.69
  4. Step 4: Simplify right side
    3,132.75x = 6,471,437.01
  5. Step 5: Solve for x
    x = 6,471,437.01/3,132.75
  6. Step 6: Final answer
    x = 2,065.74

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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.