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Finding the Fourth Proportional to 2,267.02, 3,399.90 and 880.09

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Solution

The fourth proportional to 2,267.02, 3,399.90 and 880.09 is: 1,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.02 : 3,399.90 = 880.09 : x
  2. Step 2: Convert to fraction form
    2,267.02/3,399.90 = 880.09/x
  3. Step 3: Cross multiply
    2,267.02x = 3,399.90 × 880.09
  4. Step 4: Simplify right side
    2,267.02x = 2,992,217.99
  5. Step 5: Solve for x
    x = 2,992,217.99/2,267.02
  6. Step 6: Final answer
    x = 1,319.89

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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.