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Finding the Fourth Proportional to 2,189.67, 3,022 and 1,219.62

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Solution

The fourth proportional to 2,189.67, 3,022 and 1,219.62 is: 1,683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.67 : 3,022 = 1,219.62 : x
  2. Step 2: Convert to fraction form
    2,189.67/3,022 = 1,219.62/x
  3. Step 3: Cross multiply
    2,189.67x = 3,022 × 1,219.62
  4. Step 4: Simplify right side
    2,189.67x = 3,685,691.64
  5. Step 5: Solve for x
    x = 3,685,691.64/2,189.67
  6. Step 6: Final answer
    x = 1,683.22

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