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Finding the Fourth Proportional to 2,112.02, 3,167.26 and 630.80

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Solution

The fourth proportional to 2,112.02, 3,167.26 and 630.80 is: 945.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.02 : 3,167.26 = 630.80 : x
  2. Step 2: Convert to fraction form
    2,112.02/3,167.26 = 630.80/x
  3. Step 3: Cross multiply
    2,112.02x = 3,167.26 × 630.80
  4. Step 4: Simplify right side
    2,112.02x = 1,997,907.61
  5. Step 5: Solve for x
    x = 1,997,907.61/2,112.02
  6. Step 6: Final answer
    x = 945.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.