Home / 2,284.13-3,424.13-822.25

Finding the Fourth Proportional to 2,284.13, 3,424.13 and 822.25

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Solution

The fourth proportional to 2,284.13, 3,424.13 and 822.25 is: 1,232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.13 : 3,424.13 = 822.25 : x
  2. Step 2: Convert to fraction form
    2,284.13/3,424.13 = 822.25/x
  3. Step 3: Cross multiply
    2,284.13x = 3,424.13 × 822.25
  4. Step 4: Simplify right side
    2,284.13x = 2,815,492.95
  5. Step 5: Solve for x
    x = 2,815,492.95/2,284.13
  6. Step 6: Final answer
    x = 1,232.64

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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.