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Finding the Fourth Proportional to 2,540.95, 3,805.76 and 2,152.15

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Solution

The fourth proportional to 2,540.95, 3,805.76 and 2,152.15 is: 3,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.95 : 3,805.76 = 2,152.15 : x
  2. Step 2: Convert to fraction form
    2,540.95/3,805.76 = 2,152.15/x
  3. Step 3: Cross multiply
    2,540.95x = 3,805.76 × 2,152.15
  4. Step 4: Simplify right side
    2,540.95x = 8,190,555.62
  5. Step 5: Solve for x
    x = 8,190,555.62/2,540.95
  6. Step 6: Final answer
    x = 3,223.42

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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.