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Finding the Fourth Proportional to 2,344.78, 3,517.09 and 958.13

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Solution

The fourth proportional to 2,344.78, 3,517.09 and 958.13 is: 1,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.78 : 3,517.09 = 958.13 : x
  2. Step 2: Convert to fraction form
    2,344.78/3,517.09 = 958.13/x
  3. Step 3: Cross multiply
    2,344.78x = 3,517.09 × 958.13
  4. Step 4: Simplify right side
    2,344.78x = 3,369,829.44
  5. Step 5: Solve for x
    x = 3,369,829.44/2,344.78
  6. Step 6: Final answer
    x = 1,437.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.