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Finding the Fourth Proportional to 2,144.52, 2,959.19 and 1,200.38

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Solution

The fourth proportional to 2,144.52, 2,959.19 and 1,200.38 is: 1,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.52 : 2,959.19 = 1,200.38 : x
  2. Step 2: Convert to fraction form
    2,144.52/2,959.19 = 1,200.38/x
  3. Step 3: Cross multiply
    2,144.52x = 2,959.19 × 1,200.38
  4. Step 4: Simplify right side
    2,144.52x = 3,552,131.69
  5. Step 5: Solve for x
    x = 3,552,131.69/2,144.52
  6. Step 6: Final answer
    x = 1,656.38

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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.