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Finding the Fourth Proportional to 2,503, 3,452.20 and 1,945.16

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Solution

The fourth proportional to 2,503, 3,452.20 and 1,945.16 is: 2,682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503 : 3,452.20 = 1,945.16 : x
  2. Step 2: Convert to fraction form
    2,503/3,452.20 = 1,945.16/x
  3. Step 3: Cross multiply
    2,503x = 3,452.20 × 1,945.16
  4. Step 4: Simplify right side
    2,503x = 6,715,081.35
  5. Step 5: Solve for x
    x = 6,715,081.35/2,503
  6. Step 6: Final answer
    x = 2,682.81

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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.