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Finding the Fourth Proportional to 3,494.95, 4,822.64 and 2,168.17

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Solution

The fourth proportional to 3,494.95, 4,822.64 and 2,168.17 is: 2,991.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.95 : 4,822.64 = 2,168.17 : x
  2. Step 2: Convert to fraction form
    3,494.95/4,822.64 = 2,168.17/x
  3. Step 3: Cross multiply
    3,494.95x = 4,822.64 × 2,168.17
  4. Step 4: Simplify right side
    3,494.95x = 10,456,288.60
  5. Step 5: Solve for x
    x = 10,456,288.60/3,494.95
  6. Step 6: Final answer
    x = 2,991.83

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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.