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Finding the Fourth Proportional to 2,095.75, 3,145.07 and 727.75

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Solution

The fourth proportional to 2,095.75, 3,145.07 and 727.75 is: 1,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.75 : 3,145.07 = 727.75 : x
  2. Step 2: Convert to fraction form
    2,095.75/3,145.07 = 727.75/x
  3. Step 3: Cross multiply
    2,095.75x = 3,145.07 × 727.75
  4. Step 4: Simplify right side
    2,095.75x = 2,288,824.69
  5. Step 5: Solve for x
    x = 2,288,824.69/2,095.75
  6. Step 6: Final answer
    x = 1,092.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.