Home / 2,294.24-3,164.19-1,408.46

Finding the Fourth Proportional to 2,294.24, 3,164.19 and 1,408.46

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Solution

The fourth proportional to 2,294.24, 3,164.19 and 1,408.46 is: 1,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.24 : 3,164.19 = 1,408.46 : x
  2. Step 2: Convert to fraction form
    2,294.24/3,164.19 = 1,408.46/x
  3. Step 3: Cross multiply
    2,294.24x = 3,164.19 × 1,408.46
  4. Step 4: Simplify right side
    2,294.24x = 4,456,635.05
  5. Step 5: Solve for x
    x = 4,456,635.05/2,294.24
  6. Step 6: Final answer
    x = 1,942.53

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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.