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Finding the Fourth Proportional to 2,109.14, 3,162.90 and 722.22

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Solution

The fourth proportional to 2,109.14, 3,162.90 and 722.22 is: 1,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.14 : 3,162.90 = 722.22 : x
  2. Step 2: Convert to fraction form
    2,109.14/3,162.90 = 722.22/x
  3. Step 3: Cross multiply
    2,109.14x = 3,162.90 × 722.22
  4. Step 4: Simplify right side
    2,109.14x = 2,284,296.42
  5. Step 5: Solve for x
    x = 2,284,296.42/2,109.14
  6. Step 6: Final answer
    x = 1,083.05

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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.