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Finding the Fourth Proportional to 3,167.84, 4,372.36 and 2,050

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Solution

The fourth proportional to 3,167.84, 4,372.36 and 2,050 is: 2,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.84 : 4,372.36 = 2,050 : x
  2. Step 2: Convert to fraction form
    3,167.84/4,372.36 = 2,050/x
  3. Step 3: Cross multiply
    3,167.84x = 4,372.36 × 2,050
  4. Step 4: Simplify right side
    3,167.84x = 8,963,338
  5. Step 5: Solve for x
    x = 8,963,338/3,167.84
  6. Step 6: Final answer
    x = 2,829.48

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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.