Home / 2,972.88-4,449.68-1,584.24

Finding the Fourth Proportional to 2,972.88, 4,449.68 and 1,584.24

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Solution

The fourth proportional to 2,972.88, 4,449.68 and 1,584.24 is: 2,371.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.88 : 4,449.68 = 1,584.24 : x
  2. Step 2: Convert to fraction form
    2,972.88/4,449.68 = 1,584.24/x
  3. Step 3: Cross multiply
    2,972.88x = 4,449.68 × 1,584.24
  4. Step 4: Simplify right side
    2,972.88x = 7,049,361.04
  5. Step 5: Solve for x
    x = 7,049,361.04/2,972.88
  6. Step 6: Final answer
    x = 2,371.22

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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.