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Finding the Fourth Proportional to 3,132.20, 4,698.12 and 940.88

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Solution

The fourth proportional to 3,132.20, 4,698.12 and 940.88 is: 1,411.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.20 : 4,698.12 = 940.88 : x
  2. Step 2: Convert to fraction form
    3,132.20/4,698.12 = 940.88/x
  3. Step 3: Cross multiply
    3,132.20x = 4,698.12 × 940.88
  4. Step 4: Simplify right side
    3,132.20x = 4,420,367.15
  5. Step 5: Solve for x
    x = 4,420,367.15/3,132.20
  6. Step 6: Final answer
    x = 1,411.27

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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.