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Finding the Fourth Proportional to 2,144.06, 2,958.83 and 1,259.88

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Solution

The fourth proportional to 2,144.06, 2,958.83 and 1,259.88 is: 1,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.06 : 2,958.83 = 1,259.88 : x
  2. Step 2: Convert to fraction form
    2,144.06/2,958.83 = 1,259.88/x
  3. Step 3: Cross multiply
    2,144.06x = 2,958.83 × 1,259.88
  4. Step 4: Simplify right side
    2,144.06x = 3,727,770.74
  5. Step 5: Solve for x
    x = 3,727,770.74/2,144.06
  6. Step 6: Final answer
    x = 1,738.65

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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.