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Finding the Fourth Proportional to 2,654.76, 3,979.58 and 922.28

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Solution

The fourth proportional to 2,654.76, 3,979.58 and 922.28 is: 1,382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.76 : 3,979.58 = 922.28 : x
  2. Step 2: Convert to fraction form
    2,654.76/3,979.58 = 922.28/x
  3. Step 3: Cross multiply
    2,654.76x = 3,979.58 × 922.28
  4. Step 4: Simplify right side
    2,654.76x = 3,670,287.04
  5. Step 5: Solve for x
    x = 3,670,287.04/2,654.76
  6. Step 6: Final answer
    x = 1,382.53

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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.