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Finding the Fourth Proportional to 2,843.61, 4,266.64 and 996.03

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Solution

The fourth proportional to 2,843.61, 4,266.64 and 996.03 is: 1,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.61 : 4,266.64 = 996.03 : x
  2. Step 2: Convert to fraction form
    2,843.61/4,266.64 = 996.03/x
  3. Step 3: Cross multiply
    2,843.61x = 4,266.64 × 996.03
  4. Step 4: Simplify right side
    2,843.61x = 4,249,702.68
  5. Step 5: Solve for x
    x = 4,249,702.68/2,843.61
  6. Step 6: Final answer
    x = 1,494.48

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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.