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Finding the Fourth Proportional to 2,168.30, 2,991.12 and 1,329.20

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Solution

The fourth proportional to 2,168.30, 2,991.12 and 1,329.20 is: 1,833.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.30 : 2,991.12 = 1,329.20 : x
  2. Step 2: Convert to fraction form
    2,168.30/2,991.12 = 1,329.20/x
  3. Step 3: Cross multiply
    2,168.30x = 2,991.12 × 1,329.20
  4. Step 4: Simplify right side
    2,168.30x = 3,975,781.75
  5. Step 5: Solve for x
    x = 3,975,781.75/2,168.30
  6. Step 6: Final answer
    x = 1,833.60

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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.