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Finding the Fourth Proportional to 2,705.94, 4,059.11 and 758.16

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Solution

The fourth proportional to 2,705.94, 4,059.11 and 758.16 is: 1,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.94 : 4,059.11 = 758.16 : x
  2. Step 2: Convert to fraction form
    2,705.94/4,059.11 = 758.16/x
  3. Step 3: Cross multiply
    2,705.94x = 4,059.11 × 758.16
  4. Step 4: Simplify right side
    2,705.94x = 3,077,456.73
  5. Step 5: Solve for x
    x = 3,077,456.73/2,705.94
  6. Step 6: Final answer
    x = 1,137.30

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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.