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Finding the Fourth Proportional to 2,063.52, 3,095.84 and 747.43

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Solution

The fourth proportional to 2,063.52, 3,095.84 and 747.43 is: 1,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.52 : 3,095.84 = 747.43 : x
  2. Step 2: Convert to fraction form
    2,063.52/3,095.84 = 747.43/x
  3. Step 3: Cross multiply
    2,063.52x = 3,095.84 × 747.43
  4. Step 4: Simplify right side
    2,063.52x = 2,313,917.82
  5. Step 5: Solve for x
    x = 2,313,917.82/2,063.52
  6. Step 6: Final answer
    x = 1,121.34

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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.