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Finding the Fourth Proportional to 2,861.76, 4,293.12 and 913.92

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Solution

The fourth proportional to 2,861.76, 4,293.12 and 913.92 is: 1,371.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.76 : 4,293.12 = 913.92 : x
  2. Step 2: Convert to fraction form
    2,861.76/4,293.12 = 913.92/x
  3. Step 3: Cross multiply
    2,861.76x = 4,293.12 × 913.92
  4. Step 4: Simplify right side
    2,861.76x = 3,923,568.23
  5. Step 5: Solve for x
    x = 3,923,568.23/2,861.76
  6. Step 6: Final answer
    x = 1,371.03

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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.