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Finding the Fourth Proportional to 2,144.44, 2,959.02 and 1,200.11

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Solution

The fourth proportional to 2,144.44, 2,959.02 and 1,200.11 is: 1,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.44 : 2,959.02 = 1,200.11 : x
  2. Step 2: Convert to fraction form
    2,144.44/2,959.02 = 1,200.11/x
  3. Step 3: Cross multiply
    2,144.44x = 2,959.02 × 1,200.11
  4. Step 4: Simplify right side
    2,144.44x = 3,551,134.70
  5. Step 5: Solve for x
    x = 3,551,134.70/2,144.44
  6. Step 6: Final answer
    x = 1,655.97

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1.5x scale

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.