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Finding the Fourth Proportional to 2,578.67, 3,867.55 and 1,191.89

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Solution

The fourth proportional to 2,578.67, 3,867.55 and 1,191.89 is: 1,787.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.67 : 3,867.55 = 1,191.89 : x
  2. Step 2: Convert to fraction form
    2,578.67/3,867.55 = 1,191.89/x
  3. Step 3: Cross multiply
    2,578.67x = 3,867.55 × 1,191.89
  4. Step 4: Simplify right side
    2,578.67x = 4,609,694.17
  5. Step 5: Solve for x
    x = 4,609,694.17/2,578.67
  6. Step 6: Final answer
    x = 1,787.62

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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.