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Finding the Fourth Proportional to 1,661.59, 2,293.10 and 998.41

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Solution

The fourth proportional to 1,661.59, 2,293.10 and 998.41 is: 1,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.59 : 2,293.10 = 998.41 : x
  2. Step 2: Convert to fraction form
    1,661.59/2,293.10 = 998.41/x
  3. Step 3: Cross multiply
    1,661.59x = 2,293.10 × 998.41
  4. Step 4: Simplify right side
    1,661.59x = 2,289,453.97
  5. Step 5: Solve for x
    x = 2,289,453.97/1,661.59
  6. Step 6: Final answer
    x = 1,377.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.