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Finding the Fourth Proportional to 2,482.24, 3,723.32 and 838.78

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Solution

The fourth proportional to 2,482.24, 3,723.32 and 838.78 is: 1,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.24 : 3,723.32 = 838.78 : x
  2. Step 2: Convert to fraction form
    2,482.24/3,723.32 = 838.78/x
  3. Step 3: Cross multiply
    2,482.24x = 3,723.32 × 838.78
  4. Step 4: Simplify right side
    2,482.24x = 3,123,046.35
  5. Step 5: Solve for x
    x = 3,123,046.35/2,482.24
  6. Step 6: Final answer
    x = 1,258.16

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