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Finding the Fourth Proportional to 3,049.92, 4,578.48 and 1,589.76

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Solution

The fourth proportional to 3,049.92, 4,578.48 and 1,589.76 is: 2,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.92 : 4,578.48 = 1,589.76 : x
  2. Step 2: Convert to fraction form
    3,049.92/4,578.48 = 1,589.76/x
  3. Step 3: Cross multiply
    3,049.92x = 4,578.48 × 1,589.76
  4. Step 4: Simplify right side
    3,049.92x = 7,278,684.36
  5. Step 5: Solve for x
    x = 7,278,684.36/3,049.92
  6. Step 6: Final answer
    x = 2,386.52

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1.5x scale

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.