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Finding the Fourth Proportional to 2,258.94, 3,388.17 and 615.66

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Solution

The fourth proportional to 2,258.94, 3,388.17 and 615.66 is: 923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.94 : 3,388.17 = 615.66 : x
  2. Step 2: Convert to fraction form
    2,258.94/3,388.17 = 615.66/x
  3. Step 3: Cross multiply
    2,258.94x = 3,388.17 × 615.66
  4. Step 4: Simplify right side
    2,258.94x = 2,085,960.74
  5. Step 5: Solve for x
    x = 2,085,960.74/2,258.94
  6. Step 6: Final answer
    x = 923.42

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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.