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Finding the Fourth Proportional to 2,540.92, 3,812.28 and 897.04

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Solution

The fourth proportional to 2,540.92, 3,812.28 and 897.04 is: 1,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.92 : 3,812.28 = 897.04 : x
  2. Step 2: Convert to fraction form
    2,540.92/3,812.28 = 897.04/x
  3. Step 3: Cross multiply
    2,540.92x = 3,812.28 × 897.04
  4. Step 4: Simplify right side
    2,540.92x = 3,419,767.65
  5. Step 5: Solve for x
    x = 3,419,767.65/2,540.92
  6. Step 6: Final answer
    x = 1,345.88

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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.