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Finding the Fourth Proportional to 2,292.72, 3,163.96 and 1,244.78

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Solution

The fourth proportional to 2,292.72, 3,163.96 and 1,244.78 is: 1,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.72 : 3,163.96 = 1,244.78 : x
  2. Step 2: Convert to fraction form
    2,292.72/3,163.96 = 1,244.78/x
  3. Step 3: Cross multiply
    2,292.72x = 3,163.96 × 1,244.78
  4. Step 4: Simplify right side
    2,292.72x = 3,938,434.13
  5. Step 5: Solve for x
    x = 3,938,434.13/2,292.72
  6. Step 6: Final answer
    x = 1,717.80

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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.