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Finding the Fourth Proportional to 2,171.78, 3,258.21 and 632.78

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Solution

The fourth proportional to 2,171.78, 3,258.21 and 632.78 is: 949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.78 : 3,258.21 = 632.78 : x
  2. Step 2: Convert to fraction form
    2,171.78/3,258.21 = 632.78/x
  3. Step 3: Cross multiply
    2,171.78x = 3,258.21 × 632.78
  4. Step 4: Simplify right side
    2,171.78x = 2,061,730.12
  5. Step 5: Solve for x
    x = 2,061,730.12/2,171.78
  6. Step 6: Final answer
    x = 949.33

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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.