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Finding the Fourth Proportional to 2,500.47, 3,447.26 and 1,661.21

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Solution

The fourth proportional to 2,500.47, 3,447.26 and 1,661.21 is: 2,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.47 : 3,447.26 = 1,661.21 : x
  2. Step 2: Convert to fraction form
    2,500.47/3,447.26 = 1,661.21/x
  3. Step 3: Cross multiply
    2,500.47x = 3,447.26 × 1,661.21
  4. Step 4: Simplify right side
    2,500.47x = 5,726,616.40
  5. Step 5: Solve for x
    x = 5,726,616.40/2,500.47
  6. Step 6: Final answer
    x = 2,290.22

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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.