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Finding the Fourth Proportional to 2,008.08, 3,011.75 and 546.89

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Solution

The fourth proportional to 2,008.08, 3,011.75 and 546.89 is: 820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.08 : 3,011.75 = 546.89 : x
  2. Step 2: Convert to fraction form
    2,008.08/3,011.75 = 546.89/x
  3. Step 3: Cross multiply
    2,008.08x = 3,011.75 × 546.89
  4. Step 4: Simplify right side
    2,008.08x = 1,647,100.75
  5. Step 5: Solve for x
    x = 1,647,100.75/2,008.08
  6. Step 6: Final answer
    x = 820.24

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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.