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Finding the Fourth Proportional to 2,144, 2,959 and 1,259.80

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Solution

The fourth proportional to 2,144, 2,959 and 1,259.80 is: 1,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144 : 2,959 = 1,259.80 : x
  2. Step 2: Convert to fraction form
    2,144/2,959 = 1,259.80/x
  3. Step 3: Cross multiply
    2,144x = 2,959 × 1,259.80
  4. Step 4: Simplify right side
    2,144x = 3,727,748.20
  5. Step 5: Solve for x
    x = 3,727,748.20/2,144
  6. Step 6: Final answer
    x = 1,738.69

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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.