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Finding the Fourth Proportional to 2,405.97, 3,606.14 and 2,132.59

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Solution

The fourth proportional to 2,405.97, 3,606.14 and 2,132.59 is: 3,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.97 : 3,606.14 = 2,132.59 : x
  2. Step 2: Convert to fraction form
    2,405.97/3,606.14 = 2,132.59/x
  3. Step 3: Cross multiply
    2,405.97x = 3,606.14 × 2,132.59
  4. Step 4: Simplify right side
    2,405.97x = 7,690,418.10
  5. Step 5: Solve for x
    x = 7,690,418.10/2,405.97
  6. Step 6: Final answer
    x = 3,196.39

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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.