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Finding the Fourth Proportional to 2,008.05, 3,012.44 and 709.22

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Solution

The fourth proportional to 2,008.05, 3,012.44 and 709.22 is: 1,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.05 : 3,012.44 = 709.22 : x
  2. Step 2: Convert to fraction form
    2,008.05/3,012.44 = 709.22/x
  3. Step 3: Cross multiply
    2,008.05x = 3,012.44 × 709.22
  4. Step 4: Simplify right side
    2,008.05x = 2,136,464.09
  5. Step 5: Solve for x
    x = 2,136,464.09/2,008.05
  6. Step 6: Final answer
    x = 1,063.95

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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.