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Finding the Fourth Proportional to 2,780.69, 4,171.04 and 2,258.21

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Solution

The fourth proportional to 2,780.69, 4,171.04 and 2,258.21 is: 3,387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.69 : 4,171.04 = 2,258.21 : x
  2. Step 2: Convert to fraction form
    2,780.69/4,171.04 = 2,258.21/x
  3. Step 3: Cross multiply
    2,780.69x = 4,171.04 × 2,258.21
  4. Step 4: Simplify right side
    2,780.69x = 9,419,052.09
  5. Step 5: Solve for x
    x = 9,419,052.09/2,780.69
  6. Step 6: Final answer
    x = 3,387.31

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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.