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Finding the Fourth Proportional to 2,482.32, 3,724.96 and 922.06

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Solution

The fourth proportional to 2,482.32, 3,724.96 and 922.06 is: 1,383.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.32 : 3,724.96 = 922.06 : x
  2. Step 2: Convert to fraction form
    2,482.32/3,724.96 = 922.06/x
  3. Step 3: Cross multiply
    2,482.32x = 3,724.96 × 922.06
  4. Step 4: Simplify right side
    2,482.32x = 3,434,636.62
  5. Step 5: Solve for x
    x = 3,434,636.62/2,482.32
  6. Step 6: Final answer
    x = 1,383.64

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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.