Home / 2,284.44-3,422.58-822.66

Finding the Fourth Proportional to 2,284.44, 3,422.58 and 822.66

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Solution

The fourth proportional to 2,284.44, 3,422.58 and 822.66 is: 1,232.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.44 : 3,422.58 = 822.66 : x
  2. Step 2: Convert to fraction form
    2,284.44/3,422.58 = 822.66/x
  3. Step 3: Cross multiply
    2,284.44x = 3,422.58 × 822.66
  4. Step 4: Simplify right side
    2,284.44x = 2,815,619.66
  5. Step 5: Solve for x
    x = 2,815,619.66/2,284.44
  6. Step 6: Final answer
    x = 1,232.52

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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.