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Finding the Fourth Proportional to 2,656.58, 3,984.97 and 708.80

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Solution

The fourth proportional to 2,656.58, 3,984.97 and 708.80 is: 1,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.58 : 3,984.97 = 708.80 : x
  2. Step 2: Convert to fraction form
    2,656.58/3,984.97 = 708.80/x
  3. Step 3: Cross multiply
    2,656.58x = 3,984.97 × 708.80
  4. Step 4: Simplify right side
    2,656.58x = 2,824,546.74
  5. Step 5: Solve for x
    x = 2,824,546.74/2,656.58
  6. Step 6: Final answer
    x = 1,063.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.