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Finding the Fourth Proportional to 3,256.38, 4,494.78 and 2,077.80

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Solution

The fourth proportional to 3,256.38, 4,494.78 and 2,077.80 is: 2,867.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.38 : 4,494.78 = 2,077.80 : x
  2. Step 2: Convert to fraction form
    3,256.38/4,494.78 = 2,077.80/x
  3. Step 3: Cross multiply
    3,256.38x = 4,494.78 × 2,077.80
  4. Step 4: Simplify right side
    3,256.38x = 9,339,253.88
  5. Step 5: Solve for x
    x = 9,339,253.88/3,256.38
  6. Step 6: Final answer
    x = 2,867.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.