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Finding the Fourth Proportional to 3,494.49, 4,822.11 and 2,167.71

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Solution

The fourth proportional to 3,494.49, 4,822.11 and 2,167.71 is: 2,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.49 : 4,822.11 = 2,167.71 : x
  2. Step 2: Convert to fraction form
    3,494.49/4,822.11 = 2,167.71/x
  3. Step 3: Cross multiply
    3,494.49x = 4,822.11 × 2,167.71
  4. Step 4: Simplify right side
    3,494.49x = 10,452,936.07
  5. Step 5: Solve for x
    x = 10,452,936.07/3,494.49
  6. Step 6: Final answer
    x = 2,991.26

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1.5x scale

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.