Home / 2,114.14-3,170.52-798.52

Finding the Fourth Proportional to 2,114.14, 3,170.52 and 798.52

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Solution

The fourth proportional to 2,114.14, 3,170.52 and 798.52 is: 1,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.14 : 3,170.52 = 798.52 : x
  2. Step 2: Convert to fraction form
    2,114.14/3,170.52 = 798.52/x
  3. Step 3: Cross multiply
    2,114.14x = 3,170.52 × 798.52
  4. Step 4: Simplify right side
    2,114.14x = 2,531,723.63
  5. Step 5: Solve for x
    x = 2,531,723.63/2,114.14
  6. Step 6: Final answer
    x = 1,197.52

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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.