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Finding the Fourth Proportional to 2,107.10, 3,161.17 and 952.54

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Solution

The fourth proportional to 2,107.10, 3,161.17 and 952.54 is: 1,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.10 : 3,161.17 = 952.54 : x
  2. Step 2: Convert to fraction form
    2,107.10/3,161.17 = 952.54/x
  3. Step 3: Cross multiply
    2,107.10x = 3,161.17 × 952.54
  4. Step 4: Simplify right side
    2,107.10x = 3,011,140.87
  5. Step 5: Solve for x
    x = 3,011,140.87/2,107.10
  6. Step 6: Final answer
    x = 1,429.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.