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Finding the Fourth Proportional to 2,764.91, 4,144.61 and 1,120.41

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Solution

The fourth proportional to 2,764.91, 4,144.61 and 1,120.41 is: 1,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.91 : 4,144.61 = 1,120.41 : x
  2. Step 2: Convert to fraction form
    2,764.91/4,144.61 = 1,120.41/x
  3. Step 3: Cross multiply
    2,764.91x = 4,144.61 × 1,120.41
  4. Step 4: Simplify right side
    2,764.91x = 4,643,665.29
  5. Step 5: Solve for x
    x = 4,643,665.29/2,764.91
  6. Step 6: Final answer
    x = 1,679.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.