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Finding the Fourth Proportional to 3,012.28, 4,516.16 and 931.05

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Solution

The fourth proportional to 3,012.28, 4,516.16 and 931.05 is: 1,395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.28 : 4,516.16 = 931.05 : x
  2. Step 2: Convert to fraction form
    3,012.28/4,516.16 = 931.05/x
  3. Step 3: Cross multiply
    3,012.28x = 4,516.16 × 931.05
  4. Step 4: Simplify right side
    3,012.28x = 4,204,766.11
  5. Step 5: Solve for x
    x = 4,204,766.11/3,012.28
  6. Step 6: Final answer
    x = 1,395.88

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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.