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Finding the Fourth Proportional to 2,257.87, 3,386.31 and 614.44

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Solution

The fourth proportional to 2,257.87, 3,386.31 and 614.44 is: 921.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.87 : 3,386.31 = 614.44 : x
  2. Step 2: Convert to fraction form
    2,257.87/3,386.31 = 614.44/x
  3. Step 3: Cross multiply
    2,257.87x = 3,386.31 × 614.44
  4. Step 4: Simplify right side
    2,257.87x = 2,080,684.32
  5. Step 5: Solve for x
    x = 2,080,684.32/2,257.87
  6. Step 6: Final answer
    x = 921.53

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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.