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Finding the Fourth Proportional to 2,095.72, 3,144.22 and 1,228.20

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Solution

The fourth proportional to 2,095.72, 3,144.22 and 1,228.20 is: 1,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095.72 : 3,144.22 = 1,228.20 : x
  2. Step 2: Convert to fraction form
    2,095.72/3,144.22 = 1,228.20/x
  3. Step 3: Cross multiply
    2,095.72x = 3,144.22 × 1,228.20
  4. Step 4: Simplify right side
    2,095.72x = 3,861,731.00
  5. Step 5: Solve for x
    x = 3,861,731.00/2,095.72
  6. Step 6: Final answer
    x = 1,842.68

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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.