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Finding the Fourth Proportional to 3,009.04, 4,513.66 and 817.82

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Solution

The fourth proportional to 3,009.04, 4,513.66 and 817.82 is: 1,226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.04 : 4,513.66 = 817.82 : x
  2. Step 2: Convert to fraction form
    3,009.04/4,513.66 = 817.82/x
  3. Step 3: Cross multiply
    3,009.04x = 4,513.66 × 817.82
  4. Step 4: Simplify right side
    3,009.04x = 3,691,348.09
  5. Step 5: Solve for x
    x = 3,691,348.09/3,009.04
  6. Step 6: Final answer
    x = 1,226.75

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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.