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Finding the Fourth Proportional to 1,939.28, 2,908.91 and 478.42

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Solution

The fourth proportional to 1,939.28, 2,908.91 and 478.42 is: 717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.28 : 2,908.91 = 478.42 : x
  2. Step 2: Convert to fraction form
    1,939.28/2,908.91 = 478.42/x
  3. Step 3: Cross multiply
    1,939.28x = 2,908.91 × 478.42
  4. Step 4: Simplify right side
    1,939.28x = 1,391,680.72
  5. Step 5: Solve for x
    x = 1,391,680.72/1,939.28
  6. Step 6: Final answer
    x = 717.63

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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.