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Finding the Fourth Proportional to 2,706.36, 3,734.76 and 1,511.44

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Solution

The fourth proportional to 2,706.36, 3,734.76 and 1,511.44 is: 2,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.36 : 3,734.76 = 1,511.44 : x
  2. Step 2: Convert to fraction form
    2,706.36/3,734.76 = 1,511.44/x
  3. Step 3: Cross multiply
    2,706.36x = 3,734.76 × 1,511.44
  4. Step 4: Simplify right side
    2,706.36x = 5,644,865.65
  5. Step 5: Solve for x
    x = 5,644,865.65/2,706.36
  6. Step 6: Final answer
    x = 2,085.78

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1.5x scale

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.