Home / 2,148.19-3,222.83-742.75

Finding the Fourth Proportional to 2,148.19, 3,222.83 and 742.75

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Solution

The fourth proportional to 2,148.19, 3,222.83 and 742.75 is: 1,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.19 : 3,222.83 = 742.75 : x
  2. Step 2: Convert to fraction form
    2,148.19/3,222.83 = 742.75/x
  3. Step 3: Cross multiply
    2,148.19x = 3,222.83 × 742.75
  4. Step 4: Simplify right side
    2,148.19x = 2,393,753.27
  5. Step 5: Solve for x
    x = 2,393,753.27/2,148.19
  6. Step 6: Final answer
    x = 1,114.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.