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Finding the Fourth Proportional to 2,258.71, 3,388.31 and 615.27

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Solution

The fourth proportional to 2,258.71, 3,388.31 and 615.27 is: 922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.71 : 3,388.31 = 615.27 : x
  2. Step 2: Convert to fraction form
    2,258.71/3,388.31 = 615.27/x
  3. Step 3: Cross multiply
    2,258.71x = 3,388.31 × 615.27
  4. Step 4: Simplify right side
    2,258.71x = 2,084,725.49
  5. Step 5: Solve for x
    x = 2,084,725.49/2,258.71
  6. Step 6: Final answer
    x = 922.97

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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.