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Finding the Fourth Proportional to 2,482.28, 3,724.98 and 922.12

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Solution

The fourth proportional to 2,482.28, 3,724.98 and 922.12 is: 1,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.28 : 3,724.98 = 922.12 : x
  2. Step 2: Convert to fraction form
    2,482.28/3,724.98 = 922.12/x
  3. Step 3: Cross multiply
    2,482.28x = 3,724.98 × 922.12
  4. Step 4: Simplify right side
    2,482.28x = 3,434,878.56
  5. Step 5: Solve for x
    x = 3,434,878.56/2,482.28
  6. Step 6: Final answer
    x = 1,383.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.