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Finding the Fourth Proportional to 2,397.94, 3,311.89 and 1,610.62

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Solution

The fourth proportional to 2,397.94, 3,311.89 and 1,610.62 is: 2,224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.94 : 3,311.89 = 1,610.62 : x
  2. Step 2: Convert to fraction form
    2,397.94/3,311.89 = 1,610.62/x
  3. Step 3: Cross multiply
    2,397.94x = 3,311.89 × 1,610.62
  4. Step 4: Simplify right side
    2,397.94x = 5,334,183.97
  5. Step 5: Solve for x
    x = 5,334,183.97/2,397.94
  6. Step 6: Final answer
    x = 2,224.49

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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.