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Finding the Fourth Proportional to 2,299.88, 3,433.12 and 2,023.12

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Solution

The fourth proportional to 2,299.88, 3,433.12 and 2,023.12 is: 3,019.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.88 : 3,433.12 = 2,023.12 : x
  2. Step 2: Convert to fraction form
    2,299.88/3,433.12 = 2,023.12/x
  3. Step 3: Cross multiply
    2,299.88x = 3,433.12 × 2,023.12
  4. Step 4: Simplify right side
    2,299.88x = 6,945,613.73
  5. Step 5: Solve for x
    x = 6,945,613.73/2,299.88
  6. Step 6: Final answer
    x = 3,019.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.