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Finding the Fourth Proportional to 2,323.92, 3,470.19 and 2,310.24

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Solution

The fourth proportional to 2,323.92, 3,470.19 and 2,310.24 is: 3,449.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.92 : 3,470.19 = 2,310.24 : x
  2. Step 2: Convert to fraction form
    2,323.92/3,470.19 = 2,310.24/x
  3. Step 3: Cross multiply
    2,323.92x = 3,470.19 × 2,310.24
  4. Step 4: Simplify right side
    2,323.92x = 8,016,971.75
  5. Step 5: Solve for x
    x = 8,016,971.75/2,323.92
  6. Step 6: Final answer
    x = 3,449.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.