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Finding the Fourth Proportional to 2,882.74, 4,324.10 and 1,649.28

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Solution

The fourth proportional to 2,882.74, 4,324.10 and 1,649.28 is: 2,473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.74 : 4,324.10 = 1,649.28 : x
  2. Step 2: Convert to fraction form
    2,882.74/4,324.10 = 1,649.28/x
  3. Step 3: Cross multiply
    2,882.74x = 4,324.10 × 1,649.28
  4. Step 4: Simplify right side
    2,882.74x = 7,131,651.65
  5. Step 5: Solve for x
    x = 7,131,651.65/2,882.74
  6. Step 6: Final answer
    x = 2,473.91

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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.