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Finding the Fourth Proportional to 1,908.72, 2,863.20 and 738.72

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Solution

The fourth proportional to 1,908.72, 2,863.20 and 738.72 is: 1,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.72 : 2,863.20 = 738.72 : x
  2. Step 2: Convert to fraction form
    1,908.72/2,863.20 = 738.72/x
  3. Step 3: Cross multiply
    1,908.72x = 2,863.20 × 738.72
  4. Step 4: Simplify right side
    1,908.72x = 2,115,103.10
  5. Step 5: Solve for x
    x = 2,115,103.10/1,908.72
  6. Step 6: Final answer
    x = 1,108.13

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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.