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Finding the Fourth Proportional to 2,754.29, 4,131.95 and 905.93

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Solution

The fourth proportional to 2,754.29, 4,131.95 and 905.93 is: 1,359.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.29 : 4,131.95 = 905.93 : x
  2. Step 2: Convert to fraction form
    2,754.29/4,131.95 = 905.93/x
  3. Step 3: Cross multiply
    2,754.29x = 4,131.95 × 905.93
  4. Step 4: Simplify right side
    2,754.29x = 3,743,232.27
  5. Step 5: Solve for x
    x = 3,743,232.27/2,754.29
  6. Step 6: Final answer
    x = 1,359.05

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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.