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Finding the Fourth Proportional to 2,063.80, 3,095.36 and 764.96

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Solution

The fourth proportional to 2,063.80, 3,095.36 and 764.96 is: 1,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.80 : 3,095.36 = 764.96 : x
  2. Step 2: Convert to fraction form
    2,063.80/3,095.36 = 764.96/x
  3. Step 3: Cross multiply
    2,063.80x = 3,095.36 × 764.96
  4. Step 4: Simplify right side
    2,063.80x = 2,367,822.76
  5. Step 5: Solve for x
    x = 2,367,822.76/2,063.80
  6. Step 6: Final answer
    x = 1,147.31

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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.