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Finding the Fourth Proportional to 2,257.64, 3,386.07 and 614.32

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Solution

The fourth proportional to 2,257.64, 3,386.07 and 614.32 is: 921.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.64 : 3,386.07 = 614.32 : x
  2. Step 2: Convert to fraction form
    2,257.64/3,386.07 = 614.32/x
  3. Step 3: Cross multiply
    2,257.64x = 3,386.07 × 614.32
  4. Step 4: Simplify right side
    2,257.64x = 2,080,122.06
  5. Step 5: Solve for x
    x = 2,080,122.06/2,257.64
  6. Step 6: Final answer
    x = 921.37

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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.