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Finding the Fourth Proportional to 2,258.40, 3,387.60 and 871.80

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Solution

The fourth proportional to 2,258.40, 3,387.60 and 871.80 is: 1,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.40 : 3,387.60 = 871.80 : x
  2. Step 2: Convert to fraction form
    2,258.40/3,387.60 = 871.80/x
  3. Step 3: Cross multiply
    2,258.40x = 3,387.60 × 871.80
  4. Step 4: Simplify right side
    2,258.40x = 2,953,309.68
  5. Step 5: Solve for x
    x = 2,953,309.68/2,258.40
  6. Step 6: Final answer
    x = 1,307.70

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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.