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Finding the Fourth Proportional to 2,753.91, 4,131.47 and 806.13

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Solution

The fourth proportional to 2,753.91, 4,131.47 and 806.13 is: 1,209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.91 : 4,131.47 = 806.13 : x
  2. Step 2: Convert to fraction form
    2,753.91/4,131.47 = 806.13/x
  3. Step 3: Cross multiply
    2,753.91x = 4,131.47 × 806.13
  4. Step 4: Simplify right side
    2,753.91x = 3,330,501.91
  5. Step 5: Solve for x
    x = 3,330,501.91/2,753.91
  6. Step 6: Final answer
    x = 1,209.37

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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.