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Finding the Fourth Proportional to 2,882.25, 4,323.65 and 773.84

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Solution

The fourth proportional to 2,882.25, 4,323.65 and 773.84 is: 1,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.25 : 4,323.65 = 773.84 : x
  2. Step 2: Convert to fraction form
    2,882.25/4,323.65 = 773.84/x
  3. Step 3: Cross multiply
    2,882.25x = 4,323.65 × 773.84
  4. Step 4: Simplify right side
    2,882.25x = 3,345,820.26
  5. Step 5: Solve for x
    x = 3,345,820.26/2,882.25
  6. Step 6: Final answer
    x = 1,160.84

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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.