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Finding the Fourth Proportional to 2,654.84, 3,979.83 and 922.25

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Solution

The fourth proportional to 2,654.84, 3,979.83 and 922.25 is: 1,382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.84 : 3,979.83 = 922.25 : x
  2. Step 2: Convert to fraction form
    2,654.84/3,979.83 = 922.25/x
  3. Step 3: Cross multiply
    2,654.84x = 3,979.83 × 922.25
  4. Step 4: Simplify right side
    2,654.84x = 3,670,398.22
  5. Step 5: Solve for x
    x = 3,670,398.22/2,654.84
  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.