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Finding the Fourth Proportional to 3,132.68, 4,695.50 and 1,281.56

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Solution

The fourth proportional to 3,132.68, 4,695.50 and 1,281.56 is: 1,920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.68 : 4,695.50 = 1,281.56 : x
  2. Step 2: Convert to fraction form
    3,132.68/4,695.50 = 1,281.56/x
  3. Step 3: Cross multiply
    3,132.68x = 4,695.50 × 1,281.56
  4. Step 4: Simplify right side
    3,132.68x = 6,017,544.71
  5. Step 5: Solve for x
    x = 6,017,544.71/3,132.68
  6. Step 6: Final answer
    x = 1,920.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.