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Finding the Fourth Proportional to 2,608.68, 3,913.03 and 661.04

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Solution

The fourth proportional to 2,608.68, 3,913.03 and 661.04 is: 991.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.68 : 3,913.03 = 661.04 : x
  2. Step 2: Convert to fraction form
    2,608.68/3,913.03 = 661.04/x
  3. Step 3: Cross multiply
    2,608.68x = 3,913.03 × 661.04
  4. Step 4: Simplify right side
    2,608.68x = 2,586,665.29
  5. Step 5: Solve for x
    x = 2,586,665.29/2,608.68
  6. Step 6: Final answer
    x = 991.56

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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.