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Finding the Fourth Proportional to 1,661.13, 2,491.70 and 1,371.96

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Solution

The fourth proportional to 1,661.13, 2,491.70 and 1,371.96 is: 2,057.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.13 : 2,491.70 = 1,371.96 : x
  2. Step 2: Convert to fraction form
    1,661.13/2,491.70 = 1,371.96/x
  3. Step 3: Cross multiply
    1,661.13x = 2,491.70 × 1,371.96
  4. Step 4: Simplify right side
    1,661.13x = 3,418,505.87
  5. Step 5: Solve for x
    x = 3,418,505.87/1,661.13
  6. Step 6: Final answer
    x = 2,057.94

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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.