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Finding the Fourth Proportional to 2,542.86, 3,811.68 and 1,224.68

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Solution

The fourth proportional to 2,542.86, 3,811.68 and 1,224.68 is: 1,835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.86 : 3,811.68 = 1,224.68 : x
  2. Step 2: Convert to fraction form
    2,542.86/3,811.68 = 1,224.68/x
  3. Step 3: Cross multiply
    2,542.86x = 3,811.68 × 1,224.68
  4. Step 4: Simplify right side
    2,542.86x = 4,668,069.20
  5. Step 5: Solve for x
    x = 4,668,069.20/2,542.86
  6. Step 6: Final answer
    x = 1,835.76

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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.