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Finding the Fourth Proportional to 2,608.68, 3,913.01 and 634.29

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Solution

The fourth proportional to 2,608.68, 3,913.01 and 634.29 is: 951.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.68 : 3,913.01 = 634.29 : x
  2. Step 2: Convert to fraction form
    2,608.68/3,913.01 = 634.29/x
  3. Step 3: Cross multiply
    2,608.68x = 3,913.01 × 634.29
  4. Step 4: Simplify right side
    2,608.68x = 2,482,001.77
  5. Step 5: Solve for x
    x = 2,482,001.77/2,608.68
  6. Step 6: Final answer
    x = 951.44

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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.