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Finding the Fourth Proportional to 2,311.92, 3,471.60 and 1,015.92

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Solution

The fourth proportional to 2,311.92, 3,471.60 and 1,015.92 is: 1,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.92 : 3,471.60 = 1,015.92 : x
  2. Step 2: Convert to fraction form
    2,311.92/3,471.60 = 1,015.92/x
  3. Step 3: Cross multiply
    2,311.92x = 3,471.60 × 1,015.92
  4. Step 4: Simplify right side
    2,311.92x = 3,526,867.87
  5. Step 5: Solve for x
    x = 3,526,867.87/2,311.92
  6. Step 6: Final answer
    x = 1,525.51

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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.