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Finding the Fourth Proportional to 1,609.14, 2,219.60 and 979.22

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Solution

The fourth proportional to 1,609.14, 2,219.60 and 979.22 is: 1,350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.14 : 2,219.60 = 979.22 : x
  2. Step 2: Convert to fraction form
    1,609.14/2,219.60 = 979.22/x
  3. Step 3: Cross multiply
    1,609.14x = 2,219.60 × 979.22
  4. Step 4: Simplify right side
    1,609.14x = 2,173,476.71
  5. Step 5: Solve for x
    x = 2,173,476.71/1,609.14
  6. Step 6: Final answer
    x = 1,350.71

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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.