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Finding the Fourth Proportional to 3,012.68, 4,517.36 and 932.10

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Solution

The fourth proportional to 3,012.68, 4,517.36 and 932.10 is: 1,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.68 : 4,517.36 = 932.10 : x
  2. Step 2: Convert to fraction form
    3,012.68/4,517.36 = 932.10/x
  3. Step 3: Cross multiply
    3,012.68x = 4,517.36 × 932.10
  4. Step 4: Simplify right side
    3,012.68x = 4,210,626.60
  5. Step 5: Solve for x
    x = 4,210,626.60/3,012.68
  6. Step 6: Final answer
    x = 1,397.64

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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.