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Finding the Fourth Proportional to 2,109.49, 3,161.70 and 1,230.30

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Solution

The fourth proportional to 2,109.49, 3,161.70 and 1,230.30 is: 1,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.49 : 3,161.70 = 1,230.30 : x
  2. Step 2: Convert to fraction form
    2,109.49/3,161.70 = 1,230.30/x
  3. Step 3: Cross multiply
    2,109.49x = 3,161.70 × 1,230.30
  4. Step 4: Simplify right side
    2,109.49x = 3,889,839.51
  5. Step 5: Solve for x
    x = 3,889,839.51/2,109.49
  6. Step 6: Final answer
    x = 1,843.97

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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.