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Finding the Fourth Proportional to 2,706.61, 4,060.17 and 758.83

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Solution

The fourth proportional to 2,706.61, 4,060.17 and 758.83 is: 1,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.61 : 4,060.17 = 758.83 : x
  2. Step 2: Convert to fraction form
    2,706.61/4,060.17 = 758.83/x
  3. Step 3: Cross multiply
    2,706.61x = 4,060.17 × 758.83
  4. Step 4: Simplify right side
    2,706.61x = 3,080,975.01
  5. Step 5: Solve for x
    x = 3,080,975.01/2,706.61
  6. Step 6: Final answer
    x = 1,138.32

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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.