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Finding the Fourth Proportional to 2,706.75, 3,712.86 and 2,683.35

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Solution

The fourth proportional to 2,706.75, 3,712.86 and 2,683.35 is: 3,680.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.75 : 3,712.86 = 2,683.35 : x
  2. Step 2: Convert to fraction form
    2,706.75/3,712.86 = 2,683.35/x
  3. Step 3: Cross multiply
    2,706.75x = 3,712.86 × 2,683.35
  4. Step 4: Simplify right side
    2,706.75x = 9,962,902.88
  5. Step 5: Solve for x
    x = 9,962,902.88/2,706.75
  6. Step 6: Final answer
    x = 3,680.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.