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Finding the Fourth Proportional to 2,009.43, 2,770.29 and 1,411.11

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Solution

The fourth proportional to 2,009.43, 2,770.29 and 1,411.11 is: 1,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.43 : 2,770.29 = 1,411.11 : x
  2. Step 2: Convert to fraction form
    2,009.43/2,770.29 = 1,411.11/x
  3. Step 3: Cross multiply
    2,009.43x = 2,770.29 × 1,411.11
  4. Step 4: Simplify right side
    2,009.43x = 3,909,183.92
  5. Step 5: Solve for x
    x = 3,909,183.92/2,009.43
  6. Step 6: Final answer
    x = 1,945.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.