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Finding the Fourth Proportional to 3,113.78, 4,302.48 and 2,489.46

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Solution

The fourth proportional to 3,113.78, 4,302.48 and 2,489.46 is: 3,439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.78 : 4,302.48 = 2,489.46 : x
  2. Step 2: Convert to fraction form
    3,113.78/4,302.48 = 2,489.46/x
  3. Step 3: Cross multiply
    3,113.78x = 4,302.48 × 2,489.46
  4. Step 4: Simplify right side
    3,113.78x = 10,710,851.86
  5. Step 5: Solve for x
    x = 10,710,851.86/3,113.78
  6. Step 6: Final answer
    x = 3,439.82

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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.