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Finding the Fourth Proportional to 2,238.78, 3,378.21 and 2,148.87

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Solution

The fourth proportional to 2,238.78, 3,378.21 and 2,148.87 is: 3,242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.78 : 3,378.21 = 2,148.87 : x
  2. Step 2: Convert to fraction form
    2,238.78/3,378.21 = 2,148.87/x
  3. Step 3: Cross multiply
    2,238.78x = 3,378.21 × 2,148.87
  4. Step 4: Simplify right side
    2,238.78x = 7,259,334.12
  5. Step 5: Solve for x
    x = 7,259,334.12/2,238.78
  6. Step 6: Final answer
    x = 3,242.54

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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.