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Finding the Fourth Proportional to 1,921.86, 2,882.16 and 767.34

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Solution

The fourth proportional to 1,921.86, 2,882.16 and 767.34 is: 1,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.86 : 2,882.16 = 767.34 : x
  2. Step 2: Convert to fraction form
    1,921.86/2,882.16 = 767.34/x
  3. Step 3: Cross multiply
    1,921.86x = 2,882.16 × 767.34
  4. Step 4: Simplify right side
    1,921.86x = 2,211,596.65
  5. Step 5: Solve for x
    x = 2,211,596.65/1,921.86
  6. Step 6: Final answer
    x = 1,150.76

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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.