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Finding the Fourth Proportional to 3,258.70, 4,496.31 and 1,932.83

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Solution

The fourth proportional to 3,258.70, 4,496.31 and 1,932.83 is: 2,666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.70 : 4,496.31 = 1,932.83 : x
  2. Step 2: Convert to fraction form
    3,258.70/4,496.31 = 1,932.83/x
  3. Step 3: Cross multiply
    3,258.70x = 4,496.31 × 1,932.83
  4. Step 4: Simplify right side
    3,258.70x = 8,690,597.24
  5. Step 5: Solve for x
    x = 8,690,597.24/3,258.70
  6. Step 6: Final answer
    x = 2,666.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.