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Finding the Fourth Proportional to 2,642.26, 3,958.23 and 1,253.62

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Solution

The fourth proportional to 2,642.26, 3,958.23 and 1,253.62 is: 1,877.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.26 : 3,958.23 = 1,253.62 : x
  2. Step 2: Convert to fraction form
    2,642.26/3,958.23 = 1,253.62/x
  3. Step 3: Cross multiply
    2,642.26x = 3,958.23 × 1,253.62
  4. Step 4: Simplify right side
    2,642.26x = 4,962,116.29
  5. Step 5: Solve for x
    x = 4,962,116.29/2,642.26
  6. Step 6: Final answer
    x = 1,877.98

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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.