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Finding the Fourth Proportional to 3,668.58, 5,502.22 and 1,694.12

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Solution

The fourth proportional to 3,668.58, 5,502.22 and 1,694.12 is: 2,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.58 : 5,502.22 = 1,694.12 : x
  2. Step 2: Convert to fraction form
    3,668.58/5,502.22 = 1,694.12/x
  3. Step 3: Cross multiply
    3,668.58x = 5,502.22 × 1,694.12
  4. Step 4: Simplify right side
    3,668.58x = 9,321,389.20
  5. Step 5: Solve for x
    x = 9,321,389.20/3,668.58
  6. Step 6: Final answer
    x = 2,540.87

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1.5x scale

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.