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Finding the Fourth Proportional to 1,882.56, 2,823.30 and 649.65

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Solution

The fourth proportional to 1,882.56, 2,823.30 and 649.65 is: 974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.56 : 2,823.30 = 649.65 : x
  2. Step 2: Convert to fraction form
    1,882.56/2,823.30 = 649.65/x
  3. Step 3: Cross multiply
    1,882.56x = 2,823.30 × 649.65
  4. Step 4: Simplify right side
    1,882.56x = 1,834,156.85
  5. Step 5: Solve for x
    x = 1,834,156.85/1,882.56
  6. Step 6: Final answer
    x = 974.29

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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.