Home / 2,284.12-3,425.82-985.24

Finding the Fourth Proportional to 2,284.12, 3,425.82 and 985.24

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Solution

The fourth proportional to 2,284.12, 3,425.82 and 985.24 is: 1,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.12 : 3,425.82 = 985.24 : x
  2. Step 2: Convert to fraction form
    2,284.12/3,425.82 = 985.24/x
  3. Step 3: Cross multiply
    2,284.12x = 3,425.82 × 985.24
  4. Step 4: Simplify right side
    2,284.12x = 3,375,254.90
  5. Step 5: Solve for x
    x = 3,375,254.90/2,284.12
  6. Step 6: Final answer
    x = 1,477.70

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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.