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Finding the Fourth Proportional to 3,167.39, 4,371.51 and 2,048.82

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Solution

The fourth proportional to 3,167.39, 4,371.51 and 2,048.82 is: 2,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.39 : 4,371.51 = 2,048.82 : x
  2. Step 2: Convert to fraction form
    3,167.39/4,371.51 = 2,048.82/x
  3. Step 3: Cross multiply
    3,167.39x = 4,371.51 × 2,048.82
  4. Step 4: Simplify right side
    3,167.39x = 8,956,437.12
  5. Step 5: Solve for x
    x = 8,956,437.12/3,167.39
  6. Step 6: Final answer
    x = 2,827.71

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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.