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Finding the Fourth Proportional to 3,258.68, 4,496.98 and 1,766.59

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Solution

The fourth proportional to 3,258.68, 4,496.98 and 1,766.59 is: 2,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.68 : 4,496.98 = 1,766.59 : x
  2. Step 2: Convert to fraction form
    3,258.68/4,496.98 = 1,766.59/x
  3. Step 3: Cross multiply
    3,258.68x = 4,496.98 × 1,766.59
  4. Step 4: Simplify right side
    3,258.68x = 7,944,304.24
  5. Step 5: Solve for x
    x = 7,944,304.24/3,258.68
  6. Step 6: Final answer
    x = 2,437.89

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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.