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Finding the Fourth Proportional to 3,255.54, 4,494.56 and 2,138.42

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Solution

The fourth proportional to 3,255.54, 4,494.56 and 2,138.42 is: 2,952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.54 : 4,494.56 = 2,138.42 : x
  2. Step 2: Convert to fraction form
    3,255.54/4,494.56 = 2,138.42/x
  3. Step 3: Cross multiply
    3,255.54x = 4,494.56 × 2,138.42
  4. Step 4: Simplify right side
    3,255.54x = 9,611,271.18
  5. Step 5: Solve for x
    x = 9,611,271.18/3,255.54
  6. Step 6: Final answer
    x = 2,952.28

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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.