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Finding the Fourth Proportional to 2,344.14, 3,517.12 and 1,044.72

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Solution

The fourth proportional to 2,344.14, 3,517.12 and 1,044.72 is: 1,567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.14 : 3,517.12 = 1,044.72 : x
  2. Step 2: Convert to fraction form
    2,344.14/3,517.12 = 1,044.72/x
  3. Step 3: Cross multiply
    2,344.14x = 3,517.12 × 1,044.72
  4. Step 4: Simplify right side
    2,344.14x = 3,674,405.61
  5. Step 5: Solve for x
    x = 3,674,405.61/2,344.14
  6. Step 6: Final answer
    x = 1,567.49

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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.