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Finding the Fourth Proportional to 2,706.19, 4,059.44 and 758.55

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Solution

The fourth proportional to 2,706.19, 4,059.44 and 758.55 is: 1,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.19 : 4,059.44 = 758.55 : x
  2. Step 2: Convert to fraction form
    2,706.19/4,059.44 = 758.55/x
  3. Step 3: Cross multiply
    2,706.19x = 4,059.44 × 758.55
  4. Step 4: Simplify right side
    2,706.19x = 3,079,269.81
  5. Step 5: Solve for x
    x = 3,079,269.81/2,706.19
  6. Step 6: Final answer
    x = 1,137.86

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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.