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Finding the Fourth Proportional to 2,882.55, 4,327.71 and 1,844.58

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Solution

The fourth proportional to 2,882.55, 4,327.71 and 1,844.58 is: 2,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.55 : 4,327.71 = 1,844.58 : x
  2. Step 2: Convert to fraction form
    2,882.55/4,327.71 = 1,844.58/x
  3. Step 3: Cross multiply
    2,882.55x = 4,327.71 × 1,844.58
  4. Step 4: Simplify right side
    2,882.55x = 7,982,814.23
  5. Step 5: Solve for x
    x = 7,982,814.23/2,882.55
  6. Step 6: Final answer
    x = 2,769.36

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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.