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Finding the Fourth Proportional to 1,678.56, 2,517.99 and 638.72

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Solution

The fourth proportional to 1,678.56, 2,517.99 and 638.72 is: 958.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.56 : 2,517.99 = 638.72 : x
  2. Step 2: Convert to fraction form
    1,678.56/2,517.99 = 638.72/x
  3. Step 3: Cross multiply
    1,678.56x = 2,517.99 × 638.72
  4. Step 4: Simplify right side
    1,678.56x = 1,608,285.03
  5. Step 5: Solve for x
    x = 1,608,285.03/1,678.56
  6. Step 6: Final answer
    x = 958.14

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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.