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Finding the Fourth Proportional to 2,144.80, 2,959.89 and 1,260.59

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Solution

The fourth proportional to 2,144.80, 2,959.89 and 1,260.59 is: 1,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.80 : 2,959.89 = 1,260.59 : x
  2. Step 2: Convert to fraction form
    2,144.80/2,959.89 = 1,260.59/x
  3. Step 3: Cross multiply
    2,144.80x = 2,959.89 × 1,260.59
  4. Step 4: Simplify right side
    2,144.80x = 3,731,192.94
  5. Step 5: Solve for x
    x = 3,731,192.94/2,144.80
  6. Step 6: Final answer
    x = 1,739.65

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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.