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Finding the Fourth Proportional to 2,256.72, 3,382.20 and 1,086

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Solution

The fourth proportional to 2,256.72, 3,382.20 and 1,086 is: 1,627.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.72 : 3,382.20 = 1,086 : x
  2. Step 2: Convert to fraction form
    2,256.72/3,382.20 = 1,086/x
  3. Step 3: Cross multiply
    2,256.72x = 3,382.20 × 1,086
  4. Step 4: Simplify right side
    2,256.72x = 3,673,069.20
  5. Step 5: Solve for x
    x = 3,673,069.20/2,256.72
  6. Step 6: Final answer
    x = 1,627.61

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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.