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Finding the Fourth Proportional to 3,377.70, 4,659.53 and 2,258.69

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Solution

The fourth proportional to 3,377.70, 4,659.53 and 2,258.69 is: 3,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.70 : 4,659.53 = 2,258.69 : x
  2. Step 2: Convert to fraction form
    3,377.70/4,659.53 = 2,258.69/x
  3. Step 3: Cross multiply
    3,377.70x = 4,659.53 × 2,258.69
  4. Step 4: Simplify right side
    3,377.70x = 10,524,399.22
  5. Step 5: Solve for x
    x = 10,524,399.22/3,377.70
  6. Step 6: Final answer
    x = 3,115.85

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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.