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Finding the Fourth Proportional to 2,882.42, 3,976.49 and 1,763.40

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Solution

The fourth proportional to 2,882.42, 3,976.49 and 1,763.40 is: 2,432.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.42 : 3,976.49 = 1,763.40 : x
  2. Step 2: Convert to fraction form
    2,882.42/3,976.49 = 1,763.40/x
  3. Step 3: Cross multiply
    2,882.42x = 3,976.49 × 1,763.40
  4. Step 4: Simplify right side
    2,882.42x = 7,012,133.65
  5. Step 5: Solve for x
    x = 7,012,133.65/2,882.42
  6. Step 6: Final answer
    x = 2,432.73

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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.