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Finding the Fourth Proportional to 2,044.94, 3,067.47 and 584.10

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Solution

The fourth proportional to 2,044.94, 3,067.47 and 584.10 is: 876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.94 : 3,067.47 = 584.10 : x
  2. Step 2: Convert to fraction form
    2,044.94/3,067.47 = 584.10/x
  3. Step 3: Cross multiply
    2,044.94x = 3,067.47 × 584.10
  4. Step 4: Simplify right side
    2,044.94x = 1,791,709.23
  5. Step 5: Solve for x
    x = 1,791,709.23/2,044.94
  6. Step 6: Final answer
    x = 876.17

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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.