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Finding the Fourth Proportional to 2,747.16, 4,114.02 and 2,282.04

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Solution

The fourth proportional to 2,747.16, 4,114.02 and 2,282.04 is: 3,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.16 : 4,114.02 = 2,282.04 : x
  2. Step 2: Convert to fraction form
    2,747.16/4,114.02 = 2,282.04/x
  3. Step 3: Cross multiply
    2,747.16x = 4,114.02 × 2,282.04
  4. Step 4: Simplify right side
    2,747.16x = 9,388,358.20
  5. Step 5: Solve for x
    x = 9,388,358.20/2,747.16
  6. Step 6: Final answer
    x = 3,417.48

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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.