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Finding the Fourth Proportional to 3,061.76, 4,225.14 and 2,013.75

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Solution

The fourth proportional to 3,061.76, 4,225.14 and 2,013.75 is: 2,778.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.76 : 4,225.14 = 2,013.75 : x
  2. Step 2: Convert to fraction form
    3,061.76/4,225.14 = 2,013.75/x
  3. Step 3: Cross multiply
    3,061.76x = 4,225.14 × 2,013.75
  4. Step 4: Simplify right side
    3,061.76x = 8,508,375.68
  5. Step 5: Solve for x
    x = 8,508,375.68/3,061.76
  6. Step 6: Final answer
    x = 2,778.92

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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.