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Finding the Fourth Proportional to 2,258.46, 3,385.26 and 871.38

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Solution

The fourth proportional to 2,258.46, 3,385.26 and 871.38 is: 1,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.46 : 3,385.26 = 871.38 : x
  2. Step 2: Convert to fraction form
    2,258.46/3,385.26 = 871.38/x
  3. Step 3: Cross multiply
    2,258.46x = 3,385.26 × 871.38
  4. Step 4: Simplify right side
    2,258.46x = 2,949,847.86
  5. Step 5: Solve for x
    x = 2,949,847.86/2,258.46
  6. Step 6: Final answer
    x = 1,306.13

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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.