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Finding the Fourth Proportional to 4,049.68, 6,074.50 and 1,276.59

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Solution

The fourth proportional to 4,049.68, 6,074.50 and 1,276.59 is: 1,914.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.68 : 6,074.50 = 1,276.59 : x
  2. Step 2: Convert to fraction form
    4,049.68/6,074.50 = 1,276.59/x
  3. Step 3: Cross multiply
    4,049.68x = 6,074.50 × 1,276.59
  4. Step 4: Simplify right side
    4,049.68x = 7,754,645.96
  5. Step 5: Solve for x
    x = 7,754,645.96/4,049.68
  6. Step 6: Final answer
    x = 1,914.88

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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.