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Finding the Fourth Proportional to 2,029.94, 3,044.46 and 643.38

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Solution

The fourth proportional to 2,029.94, 3,044.46 and 643.38 is: 964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.94 : 3,044.46 = 643.38 : x
  2. Step 2: Convert to fraction form
    2,029.94/3,044.46 = 643.38/x
  3. Step 3: Cross multiply
    2,029.94x = 3,044.46 × 643.38
  4. Step 4: Simplify right side
    2,029.94x = 1,958,744.67
  5. Step 5: Solve for x
    x = 1,958,744.67/2,029.94
  6. Step 6: Final answer
    x = 964.93

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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.