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Finding the Fourth Proportional to 2,706.07, 3,734 and 1,510.91

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Solution

The fourth proportional to 2,706.07, 3,734 and 1,510.91 is: 2,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.07 : 3,734 = 1,510.91 : x
  2. Step 2: Convert to fraction form
    2,706.07/3,734 = 1,510.91/x
  3. Step 3: Cross multiply
    2,706.07x = 3,734 × 1,510.91
  4. Step 4: Simplify right side
    2,706.07x = 5,641,737.94
  5. Step 5: Solve for x
    x = 5,641,737.94/2,706.07
  6. Step 6: Final answer
    x = 2,084.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.