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Finding the Fourth Proportional to 1,654.28, 2,481.79 and 558.62

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Solution

The fourth proportional to 1,654.28, 2,481.79 and 558.62 is: 838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.28 : 2,481.79 = 558.62 : x
  2. Step 2: Convert to fraction form
    1,654.28/2,481.79 = 558.62/x
  3. Step 3: Cross multiply
    1,654.28x = 2,481.79 × 558.62
  4. Step 4: Simplify right side
    1,654.28x = 1,386,362.33
  5. Step 5: Solve for x
    x = 1,386,362.33/1,654.28
  6. Step 6: Final answer
    x = 838.05

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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.