Home / 2,282.06-3,421.26-984.44

Finding the Fourth Proportional to 2,282.06, 3,421.26 and 984.44

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Solution

The fourth proportional to 2,282.06, 3,421.26 and 984.44 is: 1,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.06 : 3,421.26 = 984.44 : x
  2. Step 2: Convert to fraction form
    2,282.06/3,421.26 = 984.44/x
  3. Step 3: Cross multiply
    2,282.06x = 3,421.26 × 984.44
  4. Step 4: Simplify right side
    2,282.06x = 3,368,033.75
  5. Step 5: Solve for x
    x = 3,368,033.75/2,282.06
  6. Step 6: Final answer
    x = 1,475.87

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1.5x scale

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.