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Finding the Fourth Proportional to 2,272.91, 3,407.30 and 811.72

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Solution

The fourth proportional to 2,272.91, 3,407.30 and 811.72 is: 1,216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.91 : 3,407.30 = 811.72 : x
  2. Step 2: Convert to fraction form
    2,272.91/3,407.30 = 811.72/x
  3. Step 3: Cross multiply
    2,272.91x = 3,407.30 × 811.72
  4. Step 4: Simplify right side
    2,272.91x = 2,765,760.98
  5. Step 5: Solve for x
    x = 2,765,760.98/2,272.91
  6. Step 6: Final answer
    x = 1,216.84

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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.