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Finding the Fourth Proportional to 2,706.33, 3,732.77 and 2,069.71

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Solution

The fourth proportional to 2,706.33, 3,732.77 and 2,069.71 is: 2,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.33 : 3,732.77 = 2,069.71 : x
  2. Step 2: Convert to fraction form
    2,706.33/3,732.77 = 2,069.71/x
  3. Step 3: Cross multiply
    2,706.33x = 3,732.77 × 2,069.71
  4. Step 4: Simplify right side
    2,706.33x = 7,725,753.48
  5. Step 5: Solve for x
    x = 7,725,753.48/2,706.33
  6. Step 6: Final answer
    x = 2,854.69

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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.