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Finding the Fourth Proportional to 2,407.67, 3,321.60 and 1,621.97

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Solution

The fourth proportional to 2,407.67, 3,321.60 and 1,621.97 is: 2,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.67 : 3,321.60 = 1,621.97 : x
  2. Step 2: Convert to fraction form
    2,407.67/3,321.60 = 1,621.97/x
  3. Step 3: Cross multiply
    2,407.67x = 3,321.60 × 1,621.97
  4. Step 4: Simplify right side
    2,407.67x = 5,387,535.55
  5. Step 5: Solve for x
    x = 5,387,535.55/2,407.67
  6. Step 6: Final answer
    x = 2,237.66

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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.