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Finding the Fourth Proportional to 2,706.93, 3,728.57 and 2,525.49

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Solution

The fourth proportional to 2,706.93, 3,728.57 and 2,525.49 is: 3,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.93 : 3,728.57 = 2,525.49 : x
  2. Step 2: Convert to fraction form
    2,706.93/3,728.57 = 2,525.49/x
  3. Step 3: Cross multiply
    2,706.93x = 3,728.57 × 2,525.49
  4. Step 4: Simplify right side
    2,706.93x = 9,416,453.62
  5. Step 5: Solve for x
    x = 9,416,453.62/2,706.93
  6. Step 6: Final answer
    x = 3,478.65

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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.