Home / 2,822.96-3,896.28-1,643.84

Finding the Fourth Proportional to 2,822.96, 3,896.28 and 1,643.84

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Solution

The fourth proportional to 2,822.96, 3,896.28 and 1,643.84 is: 2,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.96 : 3,896.28 = 1,643.84 : x
  2. Step 2: Convert to fraction form
    2,822.96/3,896.28 = 1,643.84/x
  3. Step 3: Cross multiply
    2,822.96x = 3,896.28 × 1,643.84
  4. Step 4: Simplify right side
    2,822.96x = 6,404,860.92
  5. Step 5: Solve for x
    x = 6,404,860.92/2,822.96
  6. Step 6: Final answer
    x = 2,268.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.