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Finding the Fourth Proportional to 2,635.31, 3,635.76 and 2,029.83

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Solution

The fourth proportional to 2,635.31, 3,635.76 and 2,029.83 is: 2,800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.31 : 3,635.76 = 2,029.83 : x
  2. Step 2: Convert to fraction form
    2,635.31/3,635.76 = 2,029.83/x
  3. Step 3: Cross multiply
    2,635.31x = 3,635.76 × 2,029.83
  4. Step 4: Simplify right side
    2,635.31x = 7,379,974.72
  5. Step 5: Solve for x
    x = 7,379,974.72/2,635.31
  6. Step 6: Final answer
    x = 2,800.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.