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Finding the Fourth Proportional to 2,140.81, 3,209.12 and 1,101.31

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Solution

The fourth proportional to 2,140.81, 3,209.12 and 1,101.31 is: 1,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.81 : 3,209.12 = 1,101.31 : x
  2. Step 2: Convert to fraction form
    2,140.81/3,209.12 = 1,101.31/x
  3. Step 3: Cross multiply
    2,140.81x = 3,209.12 × 1,101.31
  4. Step 4: Simplify right side
    2,140.81x = 3,534,230.44
  5. Step 5: Solve for x
    x = 3,534,230.44/2,140.81
  6. Step 6: Final answer
    x = 1,650.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.