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Finding the Fourth Proportional to 2,324.80, 3,478.20 and 2,318.32

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Solution

The fourth proportional to 2,324.80, 3,478.20 and 2,318.32 is: 3,468.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.80 : 3,478.20 = 2,318.32 : x
  2. Step 2: Convert to fraction form
    2,324.80/3,478.20 = 2,318.32/x
  3. Step 3: Cross multiply
    2,324.80x = 3,478.20 × 2,318.32
  4. Step 4: Simplify right side
    2,324.80x = 8,063,580.62
  5. Step 5: Solve for x
    x = 8,063,580.62/2,324.80
  6. Step 6: Final answer
    x = 3,468.51

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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.