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Finding the Fourth Proportional to 3,104.87, 4,657.50 and 1,254.96

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Solution

The fourth proportional to 3,104.87, 4,657.50 and 1,254.96 is: 1,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.87 : 4,657.50 = 1,254.96 : x
  2. Step 2: Convert to fraction form
    3,104.87/4,657.50 = 1,254.96/x
  3. Step 3: Cross multiply
    3,104.87x = 4,657.50 × 1,254.96
  4. Step 4: Simplify right side
    3,104.87x = 5,844,976.20
  5. Step 5: Solve for x
    x = 5,844,976.20/3,104.87
  6. Step 6: Final answer
    x = 1,882.52

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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.