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Finding the Fourth Proportional to 2,171.78, 3,258.07 and 1,132.34

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Solution

The fourth proportional to 2,171.78, 3,258.07 and 1,132.34 is: 1,698.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.78 : 3,258.07 = 1,132.34 : x
  2. Step 2: Convert to fraction form
    2,171.78/3,258.07 = 1,132.34/x
  3. Step 3: Cross multiply
    2,171.78x = 3,258.07 × 1,132.34
  4. Step 4: Simplify right side
    2,171.78x = 3,689,248.30
  5. Step 5: Solve for x
    x = 3,689,248.30/2,171.78
  6. Step 6: Final answer
    x = 1,698.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.