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Finding the Fourth Proportional to 2,257.49, 3,386.24 and 614.03

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Solution

The fourth proportional to 2,257.49, 3,386.24 and 614.03 is: 921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.49 : 3,386.24 = 614.03 : x
  2. Step 2: Convert to fraction form
    2,257.49/3,386.24 = 614.03/x
  3. Step 3: Cross multiply
    2,257.49x = 3,386.24 × 614.03
  4. Step 4: Simplify right side
    2,257.49x = 2,079,262.95
  5. Step 5: Solve for x
    x = 2,079,262.95/2,257.49
  6. Step 6: Final answer
    x = 921.05

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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.