Home / 2,306.24-3,182.49-1,421.72

Finding the Fourth Proportional to 2,306.24, 3,182.49 and 1,421.72

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Solution

The fourth proportional to 2,306.24, 3,182.49 and 1,421.72 is: 1,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.24 : 3,182.49 = 1,421.72 : x
  2. Step 2: Convert to fraction form
    2,306.24/3,182.49 = 1,421.72/x
  3. Step 3: Cross multiply
    2,306.24x = 3,182.49 × 1,421.72
  4. Step 4: Simplify right side
    2,306.24x = 4,524,609.68
  5. Step 5: Solve for x
    x = 4,524,609.68/2,306.24
  6. Step 6: Final answer
    x = 1,961.90

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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.