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Finding the Fourth Proportional to 1,638.19, 2,451.13 and 908.29

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Solution

The fourth proportional to 1,638.19, 2,451.13 and 908.29 is: 1,359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.19 : 2,451.13 = 908.29 : x
  2. Step 2: Convert to fraction form
    1,638.19/2,451.13 = 908.29/x
  3. Step 3: Cross multiply
    1,638.19x = 2,451.13 × 908.29
  4. Step 4: Simplify right side
    1,638.19x = 2,226,336.87
  5. Step 5: Solve for x
    x = 2,226,336.87/1,638.19
  6. Step 6: Final answer
    x = 1,359.02

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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.