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Finding the Fourth Proportional to 3,494.18, 4,822 and 1,922.28

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Solution

The fourth proportional to 3,494.18, 4,822 and 1,922.28 is: 2,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.18 : 4,822 = 1,922.28 : x
  2. Step 2: Convert to fraction form
    3,494.18/4,822 = 1,922.28/x
  3. Step 3: Cross multiply
    3,494.18x = 4,822 × 1,922.28
  4. Step 4: Simplify right side
    3,494.18x = 9,269,234.16
  5. Step 5: Solve for x
    x = 9,269,234.16/3,494.18
  6. Step 6: Final answer
    x = 2,652.76

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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.