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Finding the Fourth Proportional to 2,257.54, 3,385.95 and 614.22

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Solution

The fourth proportional to 2,257.54, 3,385.95 and 614.22 is: 921.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.54 : 3,385.95 = 614.22 : x
  2. Step 2: Convert to fraction form
    2,257.54/3,385.95 = 614.22/x
  3. Step 3: Cross multiply
    2,257.54x = 3,385.95 × 614.22
  4. Step 4: Simplify right side
    2,257.54x = 2,079,706.66
  5. Step 5: Solve for x
    x = 2,079,706.66/2,257.54
  6. Step 6: Final answer
    x = 921.23

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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.