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Finding the Fourth Proportional to 2,299.20, 3,447.84 and 930.24

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Solution

The fourth proportional to 2,299.20, 3,447.84 and 930.24 is: 1,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.20 : 3,447.84 = 930.24 : x
  2. Step 2: Convert to fraction form
    2,299.20/3,447.84 = 930.24/x
  3. Step 3: Cross multiply
    2,299.20x = 3,447.84 × 930.24
  4. Step 4: Simplify right side
    2,299.20x = 3,207,318.68
  5. Step 5: Solve for x
    x = 3,207,318.68/2,299.20
  6. Step 6: Final answer
    x = 1,394.97

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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.