Home / 2,272.24-3,408.25-712.23

Finding the Fourth Proportional to 2,272.24, 3,408.25 and 712.23

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Solution

The fourth proportional to 2,272.24, 3,408.25 and 712.23 is: 1,068.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.24 : 3,408.25 = 712.23 : x
  2. Step 2: Convert to fraction form
    2,272.24/3,408.25 = 712.23/x
  3. Step 3: Cross multiply
    2,272.24x = 3,408.25 × 712.23
  4. Step 4: Simplify right side
    2,272.24x = 2,427,457.90
  5. Step 5: Solve for x
    x = 2,427,457.90/2,272.24
  6. Step 6: Final answer
    x = 1,068.31

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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.