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Finding the Fourth Proportional to 2,147.14, 3,221.23 and 608.14

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Solution

The fourth proportional to 2,147.14, 3,221.23 and 608.14 is: 912.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.14 : 3,221.23 = 608.14 : x
  2. Step 2: Convert to fraction form
    2,147.14/3,221.23 = 608.14/x
  3. Step 3: Cross multiply
    2,147.14x = 3,221.23 × 608.14
  4. Step 4: Simplify right side
    2,147.14x = 1,958,958.81
  5. Step 5: Solve for x
    x = 1,958,958.81/2,147.14
  6. Step 6: Final answer
    x = 912.36

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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.