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Finding the Fourth Proportional to 2,109.05, 2,914.20 and 1,522.20

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Solution

The fourth proportional to 2,109.05, 2,914.20 and 1,522.20 is: 2,103.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.05 : 2,914.20 = 1,522.20 : x
  2. Step 2: Convert to fraction form
    2,109.05/2,914.20 = 1,522.20/x
  3. Step 3: Cross multiply
    2,109.05x = 2,914.20 × 1,522.20
  4. Step 4: Simplify right side
    2,109.05x = 4,435,995.24
  5. Step 5: Solve for x
    x = 4,435,995.24/2,109.05
  6. Step 6: Final answer
    x = 2,103.31

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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.