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Finding the Fourth Proportional to 2,578.73, 3,842.72 and 2,422.89

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Solution

The fourth proportional to 2,578.73, 3,842.72 and 2,422.89 is: 3,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.73 : 3,842.72 = 2,422.89 : x
  2. Step 2: Convert to fraction form
    2,578.73/3,842.72 = 2,422.89/x
  3. Step 3: Cross multiply
    2,578.73x = 3,842.72 × 2,422.89
  4. Step 4: Simplify right side
    2,578.73x = 9,310,475.75
  5. Step 5: Solve for x
    x = 9,310,475.75/2,578.73
  6. Step 6: Final answer
    x = 3,610.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.