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Finding the Fourth Proportional to 2,256.53, 3,382.43 and 2,147.04

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Solution

The fourth proportional to 2,256.53, 3,382.43 and 2,147.04 is: 3,218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.53 : 3,382.43 = 2,147.04 : x
  2. Step 2: Convert to fraction form
    2,256.53/3,382.43 = 2,147.04/x
  3. Step 3: Cross multiply
    2,256.53x = 3,382.43 × 2,147.04
  4. Step 4: Simplify right side
    2,256.53x = 7,262,201.77
  5. Step 5: Solve for x
    x = 7,262,201.77/2,256.53
  6. Step 6: Final answer
    x = 3,218.31

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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.