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Finding the Fourth Proportional to 2,109.89, 3,165.22 and 722.90

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Solution

The fourth proportional to 2,109.89, 3,165.22 and 722.90 is: 1,084.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.89 : 3,165.22 = 722.90 : x
  2. Step 2: Convert to fraction form
    2,109.89/3,165.22 = 722.90/x
  3. Step 3: Cross multiply
    2,109.89x = 3,165.22 × 722.90
  4. Step 4: Simplify right side
    2,109.89x = 2,288,137.54
  5. Step 5: Solve for x
    x = 2,288,137.54/2,109.89
  6. Step 6: Final answer
    x = 1,084.48

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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.