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Finding the Fourth Proportional to 2,112.78, 3,167.82 and 813

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Solution

The fourth proportional to 2,112.78, 3,167.82 and 813 is: 1,218.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.78 : 3,167.82 = 813 : x
  2. Step 2: Convert to fraction form
    2,112.78/3,167.82 = 813/x
  3. Step 3: Cross multiply
    2,112.78x = 3,167.82 × 813
  4. Step 4: Simplify right side
    2,112.78x = 2,575,437.66
  5. Step 5: Solve for x
    x = 2,575,437.66/2,112.78
  6. Step 6: Final answer
    x = 1,218.98

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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.