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Finding the Fourth Proportional to 2,044.53, 3,067.36 and 794.79

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Solution

The fourth proportional to 2,044.53, 3,067.36 and 794.79 is: 1,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.53 : 3,067.36 = 794.79 : x
  2. Step 2: Convert to fraction form
    2,044.53/3,067.36 = 794.79/x
  3. Step 3: Cross multiply
    2,044.53x = 3,067.36 × 794.79
  4. Step 4: Simplify right side
    2,044.53x = 2,437,905.07
  5. Step 5: Solve for x
    x = 2,437,905.07/2,044.53
  6. Step 6: Final answer
    x = 1,192.40

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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.