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Finding the Fourth Proportional to 3,318.82, 4,580.19 and 2,197.81

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Solution

The fourth proportional to 3,318.82, 4,580.19 and 2,197.81 is: 3,033.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.82 : 4,580.19 = 2,197.81 : x
  2. Step 2: Convert to fraction form
    3,318.82/4,580.19 = 2,197.81/x
  3. Step 3: Cross multiply
    3,318.82x = 4,580.19 × 2,197.81
  4. Step 4: Simplify right side
    3,318.82x = 10,066,387.38
  5. Step 5: Solve for x
    x = 10,066,387.38/3,318.82
  6. Step 6: Final answer
    x = 3,033.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.