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Finding the Fourth Proportional to 2,257.90, 3,386.46 and 614.24

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Solution

The fourth proportional to 2,257.90, 3,386.46 and 614.24 is: 921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.90 : 3,386.46 = 614.24 : x
  2. Step 2: Convert to fraction form
    2,257.90/3,386.46 = 614.24/x
  3. Step 3: Cross multiply
    2,257.90x = 3,386.46 × 614.24
  4. Step 4: Simplify right side
    2,257.90x = 2,080,099.19
  5. Step 5: Solve for x
    x = 2,080,099.19/2,257.90
  6. Step 6: Final answer
    x = 921.25

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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.