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Finding the Fourth Proportional to 2,528.13, 3,789.62 and 967.73

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Solution

The fourth proportional to 2,528.13, 3,789.62 and 967.73 is: 1,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.13 : 3,789.62 = 967.73 : x
  2. Step 2: Convert to fraction form
    2,528.13/3,789.62 = 967.73/x
  3. Step 3: Cross multiply
    2,528.13x = 3,789.62 × 967.73
  4. Step 4: Simplify right side
    2,528.13x = 3,667,305.18
  5. Step 5: Solve for x
    x = 3,667,305.18/2,528.13
  6. Step 6: Final answer
    x = 1,450.60

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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.