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Finding the Fourth Proportional to 2,144.28, 2,959.02 and 1,200.09

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Solution

The fourth proportional to 2,144.28, 2,959.02 and 1,200.09 is: 1,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.28 : 2,959.02 = 1,200.09 : x
  2. Step 2: Convert to fraction form
    2,144.28/2,959.02 = 1,200.09/x
  3. Step 3: Cross multiply
    2,144.28x = 2,959.02 × 1,200.09
  4. Step 4: Simplify right side
    2,144.28x = 3,551,090.31
  5. Step 5: Solve for x
    x = 3,551,090.31/2,144.28
  6. Step 6: Final answer
    x = 1,656.08

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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.