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Finding the Fourth Proportional to 2,632.34, 3,940.23 and 1,805.78

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Solution

The fourth proportional to 2,632.34, 3,940.23 and 1,805.78 is: 2,702.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.34 : 3,940.23 = 1,805.78 : x
  2. Step 2: Convert to fraction form
    2,632.34/3,940.23 = 1,805.78/x
  3. Step 3: Cross multiply
    2,632.34x = 3,940.23 × 1,805.78
  4. Step 4: Simplify right side
    2,632.34x = 7,115,188.53
  5. Step 5: Solve for x
    x = 7,115,188.53/2,632.34
  6. Step 6: Final answer
    x = 2,702.99

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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.