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Finding the Fourth Proportional to 2,432.75, 3,642.24 and 1,891.27

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Solution

The fourth proportional to 2,432.75, 3,642.24 and 1,891.27 is: 2,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.75 : 3,642.24 = 1,891.27 : x
  2. Step 2: Convert to fraction form
    2,432.75/3,642.24 = 1,891.27/x
  3. Step 3: Cross multiply
    2,432.75x = 3,642.24 × 1,891.27
  4. Step 4: Simplify right side
    2,432.75x = 6,888,450.14
  5. Step 5: Solve for x
    x = 6,888,450.14/2,432.75
  6. Step 6: Final answer
    x = 2,831.55

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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.