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Finding the Fourth Proportional to 2,240.78, 3,381.22 and 2,150.88

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Solution

The fourth proportional to 2,240.78, 3,381.22 and 2,150.88 is: 3,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.78 : 3,381.22 = 2,150.88 : x
  2. Step 2: Convert to fraction form
    2,240.78/3,381.22 = 2,150.88/x
  3. Step 3: Cross multiply
    2,240.78x = 3,381.22 × 2,150.88
  4. Step 4: Simplify right side
    2,240.78x = 7,272,598.47
  5. Step 5: Solve for x
    x = 7,272,598.47/2,240.78
  6. Step 6: Final answer
    x = 3,245.57

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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.