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Finding the Fourth Proportional to 2,241.78, 3,382.74 and 2,151.87

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Solution

The fourth proportional to 2,241.78, 3,382.74 and 2,151.87 is: 3,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.78 : 3,382.74 = 2,151.87 : x
  2. Step 2: Convert to fraction form
    2,241.78/3,382.74 = 2,151.87/x
  3. Step 3: Cross multiply
    2,241.78x = 3,382.74 × 2,151.87
  4. Step 4: Simplify right side
    2,241.78x = 7,279,216.72
  5. Step 5: Solve for x
    x = 7,279,216.72/2,241.78
  6. Step 6: Final answer
    x = 3,247.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.