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Finding the Fourth Proportional to 2,843.88, 4,264.98 and 994.65

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Solution

The fourth proportional to 2,843.88, 4,264.98 and 994.65 is: 1,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.88 : 4,264.98 = 994.65 : x
  2. Step 2: Convert to fraction form
    2,843.88/4,264.98 = 994.65/x
  3. Step 3: Cross multiply
    2,843.88x = 4,264.98 × 994.65
  4. Step 4: Simplify right side
    2,843.88x = 4,242,162.36
  5. Step 5: Solve for x
    x = 4,242,162.36/2,843.88
  6. Step 6: Final answer
    x = 1,491.68

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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.