Home / 2,098.56-3,147.84-942.96

Finding the Fourth Proportional to 2,098.56, 3,147.84 and 942.96

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Solution

The fourth proportional to 2,098.56, 3,147.84 and 942.96 is: 1,414.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.56 : 3,147.84 = 942.96 : x
  2. Step 2: Convert to fraction form
    2,098.56/3,147.84 = 942.96/x
  3. Step 3: Cross multiply
    2,098.56x = 3,147.84 × 942.96
  4. Step 4: Simplify right side
    2,098.56x = 2,968,287.21
  5. Step 5: Solve for x
    x = 2,968,287.21/2,098.56
  6. Step 6: Final answer
    x = 1,414.44

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Why These Related Problems?

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