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Finding the Fourth Proportional to 2,209.38, 3,049.87 and 1,580.16

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Solution

The fourth proportional to 2,209.38, 3,049.87 and 1,580.16 is: 2,181.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.38 : 3,049.87 = 1,580.16 : x
  2. Step 2: Convert to fraction form
    2,209.38/3,049.87 = 1,580.16/x
  3. Step 3: Cross multiply
    2,209.38x = 3,049.87 × 1,580.16
  4. Step 4: Simplify right side
    2,209.38x = 4,819,286.25
  5. Step 5: Solve for x
    x = 4,819,286.25/2,209.38
  6. Step 6: Final answer
    x = 2,181.28

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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.