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Finding the Fourth Proportional to 2,144.47, 2,959.51 and 1,200.34

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Solution

The fourth proportional to 2,144.47, 2,959.51 and 1,200.34 is: 1,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.47 : 2,959.51 = 1,200.34 : x
  2. Step 2: Convert to fraction form
    2,144.47/2,959.51 = 1,200.34/x
  3. Step 3: Cross multiply
    2,144.47x = 2,959.51 × 1,200.34
  4. Step 4: Simplify right side
    2,144.47x = 3,552,418.23
  5. Step 5: Solve for x
    x = 3,552,418.23/2,144.47
  6. Step 6: Final answer
    x = 1,656.55

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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.