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Finding the Fourth Proportional to 2,008.04, 3,011.78 and 622.33

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Solution

The fourth proportional to 2,008.04, 3,011.78 and 622.33 is: 933.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.04 : 3,011.78 = 622.33 : x
  2. Step 2: Convert to fraction form
    2,008.04/3,011.78 = 622.33/x
  3. Step 3: Cross multiply
    2,008.04x = 3,011.78 × 622.33
  4. Step 4: Simplify right side
    2,008.04x = 1,874,315.07
  5. Step 5: Solve for x
    x = 1,874,315.07/2,008.04
  6. Step 6: Final answer
    x = 933.41

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