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Finding the Fourth Proportional to 2,960.32, 4,089.24 and 2,297.92

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Solution

The fourth proportional to 2,960.32, 4,089.24 and 2,297.92 is: 3,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.32 : 4,089.24 = 2,297.92 : x
  2. Step 2: Convert to fraction form
    2,960.32/4,089.24 = 2,297.92/x
  3. Step 3: Cross multiply
    2,960.32x = 4,089.24 × 2,297.92
  4. Step 4: Simplify right side
    2,960.32x = 9,396,746.38
  5. Step 5: Solve for x
    x = 9,396,746.38/2,960.32
  6. Step 6: Final answer
    x = 3,174.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.