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Finding the Fourth Proportional to 2,063.79, 3,095.97 and 765.13

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Solution

The fourth proportional to 2,063.79, 3,095.97 and 765.13 is: 1,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.79 : 3,095.97 = 765.13 : x
  2. Step 2: Convert to fraction form
    2,063.79/3,095.97 = 765.13/x
  3. Step 3: Cross multiply
    2,063.79x = 3,095.97 × 765.13
  4. Step 4: Simplify right side
    2,063.79x = 2,368,819.53
  5. Step 5: Solve for x
    x = 2,368,819.53/2,063.79
  6. Step 6: Final answer
    x = 1,147.80

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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.