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Finding the Fourth Proportional to 1,865.30, 2,795.99 and 768.15

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Solution

The fourth proportional to 1,865.30, 2,795.99 and 768.15 is: 1,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.30 : 2,795.99 = 768.15 : x
  2. Step 2: Convert to fraction form
    1,865.30/2,795.99 = 768.15/x
  3. Step 3: Cross multiply
    1,865.30x = 2,795.99 × 768.15
  4. Step 4: Simplify right side
    1,865.30x = 2,147,735.88
  5. Step 5: Solve for x
    x = 2,147,735.88/1,865.30
  6. Step 6: Final answer
    x = 1,151.42

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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.