Home / 2,284.16-3,426.48-823.44

Finding the Fourth Proportional to 2,284.16, 3,426.48 and 823.44

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Solution

The fourth proportional to 2,284.16, 3,426.48 and 823.44 is: 1,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.16 : 3,426.48 = 823.44 : x
  2. Step 2: Convert to fraction form
    2,284.16/3,426.48 = 823.44/x
  3. Step 3: Cross multiply
    2,284.16x = 3,426.48 × 823.44
  4. Step 4: Simplify right side
    2,284.16x = 2,821,500.69
  5. Step 5: Solve for x
    x = 2,821,500.69/2,284.16
  6. Step 6: Final answer
    x = 1,235.25

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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.