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Finding the Fourth Proportional to 2,256.14, 3,114.78 and 1,720.82

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Solution

The fourth proportional to 2,256.14, 3,114.78 and 1,720.82 is: 2,375.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.14 : 3,114.78 = 1,720.82 : x
  2. Step 2: Convert to fraction form
    2,256.14/3,114.78 = 1,720.82/x
  3. Step 3: Cross multiply
    2,256.14x = 3,114.78 × 1,720.82
  4. Step 4: Simplify right side
    2,256.14x = 5,359,975.72
  5. Step 5: Solve for x
    x = 5,359,975.72/2,256.14
  6. Step 6: Final answer
    x = 2,375.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.