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Finding the Fourth Proportional to 2,272.15, 3,406.17 and 810.97

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Solution

The fourth proportional to 2,272.15, 3,406.17 and 810.97 is: 1,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.15 : 3,406.17 = 810.97 : x
  2. Step 2: Convert to fraction form
    2,272.15/3,406.17 = 810.97/x
  3. Step 3: Cross multiply
    2,272.15x = 3,406.17 × 810.97
  4. Step 4: Simplify right side
    2,272.15x = 2,762,282.41
  5. Step 5: Solve for x
    x = 2,762,282.41/2,272.15
  6. Step 6: Final answer
    x = 1,215.71

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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.