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Finding the Fourth Proportional to 2,321.91, 3,198.24 and 1,657.53

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Solution

The fourth proportional to 2,321.91, 3,198.24 and 1,657.53 is: 2,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.91 : 3,198.24 = 1,657.53 : x
  2. Step 2: Convert to fraction form
    2,321.91/3,198.24 = 1,657.53/x
  3. Step 3: Cross multiply
    2,321.91x = 3,198.24 × 1,657.53
  4. Step 4: Simplify right side
    2,321.91x = 5,301,178.75
  5. Step 5: Solve for x
    x = 5,301,178.75/2,321.91
  6. Step 6: Final answer
    x = 2,283.11

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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.