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Finding the Fourth Proportional to 2,660.68, 3,672.57 and 1,599.22

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Solution

The fourth proportional to 2,660.68, 3,672.57 and 1,599.22 is: 2,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.68 : 3,672.57 = 1,599.22 : x
  2. Step 2: Convert to fraction form
    2,660.68/3,672.57 = 1,599.22/x
  3. Step 3: Cross multiply
    2,660.68x = 3,672.57 × 1,599.22
  4. Step 4: Simplify right side
    2,660.68x = 5,873,247.40
  5. Step 5: Solve for x
    x = 5,873,247.40/2,660.68
  6. Step 6: Final answer
    x = 2,207.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.