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Finding the Fourth Proportional to 2,344.28, 3,516.12 and 613.04

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Solution

The fourth proportional to 2,344.28, 3,516.12 and 613.04 is: 919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.28 : 3,516.12 = 613.04 : x
  2. Step 2: Convert to fraction form
    2,344.28/3,516.12 = 613.04/x
  3. Step 3: Cross multiply
    2,344.28x = 3,516.12 × 613.04
  4. Step 4: Simplify right side
    2,344.28x = 2,155,522.20
  5. Step 5: Solve for x
    x = 2,155,522.20/2,344.28
  6. Step 6: Final answer
    x = 919.48

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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.