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Finding the Fourth Proportional to 3,129.75, 4,689.41 and 2,203.36

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Solution

The fourth proportional to 3,129.75, 4,689.41 and 2,203.36 is: 3,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.75 : 4,689.41 = 2,203.36 : x
  2. Step 2: Convert to fraction form
    3,129.75/4,689.41 = 2,203.36/x
  3. Step 3: Cross multiply
    3,129.75x = 4,689.41 × 2,203.36
  4. Step 4: Simplify right side
    3,129.75x = 10,332,435.68
  5. Step 5: Solve for x
    x = 10,332,435.68/3,129.75
  6. Step 6: Final answer
    x = 3,301.36

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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.