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Finding the Fourth Proportional to 2,441.88, 3,657.96 and 2,095.20

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Solution

The fourth proportional to 2,441.88, 3,657.96 and 2,095.20 is: 3,138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.88 : 3,657.96 = 2,095.20 : x
  2. Step 2: Convert to fraction form
    2,441.88/3,657.96 = 2,095.20/x
  3. Step 3: Cross multiply
    2,441.88x = 3,657.96 × 2,095.20
  4. Step 4: Simplify right side
    2,441.88x = 7,664,157.79
  5. Step 5: Solve for x
    x = 7,664,157.79/2,441.88
  6. Step 6: Final answer
    x = 3,138.63

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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.