Home / 2,824.24-3,896.12-1,829.84

Finding the Fourth Proportional to 2,824.24, 3,896.12 and 1,829.84

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Solution

The fourth proportional to 2,824.24, 3,896.12 and 1,829.84 is: 2,524.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.24 : 3,896.12 = 1,829.84 : x
  2. Step 2: Convert to fraction form
    2,824.24/3,896.12 = 1,829.84/x
  3. Step 3: Cross multiply
    2,824.24x = 3,896.12 × 1,829.84
  4. Step 4: Simplify right side
    2,824.24x = 7,129,276.22
  5. Step 5: Solve for x
    x = 7,129,276.22/2,824.24
  6. Step 6: Final answer
    x = 2,524.32

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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.