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Finding the Fourth Proportional to 2,441.52, 3,662.25 and 1,142.07

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Solution

The fourth proportional to 2,441.52, 3,662.25 and 1,142.07 is: 1,713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.52 : 3,662.25 = 1,142.07 : x
  2. Step 2: Convert to fraction form
    2,441.52/3,662.25 = 1,142.07/x
  3. Step 3: Cross multiply
    2,441.52x = 3,662.25 × 1,142.07
  4. Step 4: Simplify right side
    2,441.52x = 4,182,545.86
  5. Step 5: Solve for x
    x = 4,182,545.86/2,441.52
  6. Step 6: Final answer
    x = 1,713.09

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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.