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Finding the Fourth Proportional to 2,660.14, 3,989.55 and 810.78

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Solution

The fourth proportional to 2,660.14, 3,989.55 and 810.78 is: 1,215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.14 : 3,989.55 = 810.78 : x
  2. Step 2: Convert to fraction form
    2,660.14/3,989.55 = 810.78/x
  3. Step 3: Cross multiply
    2,660.14x = 3,989.55 × 810.78
  4. Step 4: Simplify right side
    2,660.14x = 3,234,647.35
  5. Step 5: Solve for x
    x = 3,234,647.35/2,660.14
  6. Step 6: Final answer
    x = 1,215.97

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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.