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Finding the Fourth Proportional to 2,621.78, 3,932.23 and 673.98

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Solution

The fourth proportional to 2,621.78, 3,932.23 and 673.98 is: 1,010.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.78 : 3,932.23 = 673.98 : x
  2. Step 2: Convert to fraction form
    2,621.78/3,932.23 = 673.98/x
  3. Step 3: Cross multiply
    2,621.78x = 3,932.23 × 673.98
  4. Step 4: Simplify right side
    2,621.78x = 2,650,244.38
  5. Step 5: Solve for x
    x = 2,650,244.38/2,621.78
  6. Step 6: Final answer
    x = 1,010.86

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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.