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Finding the Fourth Proportional to 2,144.94, 2,959.82 and 1,200.68

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Solution

The fourth proportional to 2,144.94, 2,959.82 and 1,200.68 is: 1,656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.94 : 2,959.82 = 1,200.68 : x
  2. Step 2: Convert to fraction form
    2,144.94/2,959.82 = 1,200.68/x
  3. Step 3: Cross multiply
    2,144.94x = 2,959.82 × 1,200.68
  4. Step 4: Simplify right side
    2,144.94x = 3,553,796.68
  5. Step 5: Solve for x
    x = 3,553,796.68/2,144.94
  6. Step 6: Final answer
    x = 1,656.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.