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Finding the Fourth Proportional to 3,205.49, 4,422.39 and 1,878.71

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Solution

The fourth proportional to 3,205.49, 4,422.39 and 1,878.71 is: 2,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.49 : 4,422.39 = 1,878.71 : x
  2. Step 2: Convert to fraction form
    3,205.49/4,422.39 = 1,878.71/x
  3. Step 3: Cross multiply
    3,205.49x = 4,422.39 × 1,878.71
  4. Step 4: Simplify right side
    3,205.49x = 8,308,366.20
  5. Step 5: Solve for x
    x = 8,308,366.20/3,205.49
  6. Step 6: Final answer
    x = 2,591.92

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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.