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Finding the Fourth Proportional to 2,861.92, 4,293.68 and 1,013.48

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Solution

The fourth proportional to 2,861.92, 4,293.68 and 1,013.48 is: 1,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.92 : 4,293.68 = 1,013.48 : x
  2. Step 2: Convert to fraction form
    2,861.92/4,293.68 = 1,013.48/x
  3. Step 3: Cross multiply
    2,861.92x = 4,293.68 × 1,013.48
  4. Step 4: Simplify right side
    2,861.92x = 4,351,558.81
  5. Step 5: Solve for x
    x = 4,351,558.81/2,861.92
  6. Step 6: Final answer
    x = 1,520.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.