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Finding the Fourth Proportional to 3,442.44, 4,754.50 and 2,268.74

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Solution

The fourth proportional to 3,442.44, 4,754.50 and 2,268.74 is: 3,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.44 : 4,754.50 = 2,268.74 : x
  2. Step 2: Convert to fraction form
    3,442.44/4,754.50 = 2,268.74/x
  3. Step 3: Cross multiply
    3,442.44x = 4,754.50 × 2,268.74
  4. Step 4: Simplify right side
    3,442.44x = 10,786,724.33
  5. Step 5: Solve for x
    x = 10,786,724.33/3,442.44
  6. Step 6: Final answer
    x = 3,133.45

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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.