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Finding the Fourth Proportional to 1,863.24, 2,571.12 and 1,023.94

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Solution

The fourth proportional to 1,863.24, 2,571.12 and 1,023.94 is: 1,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.24 : 2,571.12 = 1,023.94 : x
  2. Step 2: Convert to fraction form
    1,863.24/2,571.12 = 1,023.94/x
  3. Step 3: Cross multiply
    1,863.24x = 2,571.12 × 1,023.94
  4. Step 4: Simplify right side
    1,863.24x = 2,632,672.61
  5. Step 5: Solve for x
    x = 2,632,672.61/1,863.24
  6. Step 6: Final answer
    x = 1,412.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.