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Finding the Fourth Proportional to 3,009.11, 4,513.75 and 817.88

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Solution

The fourth proportional to 3,009.11, 4,513.75 and 817.88 is: 1,226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.11 : 4,513.75 = 817.88 : x
  2. Step 2: Convert to fraction form
    3,009.11/4,513.75 = 817.88/x
  3. Step 3: Cross multiply
    3,009.11x = 4,513.75 × 817.88
  4. Step 4: Simplify right side
    3,009.11x = 3,691,705.85
  5. Step 5: Solve for x
    x = 3,691,705.85/3,009.11
  6. Step 6: Final answer
    x = 1,226.84

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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.