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Finding the Fourth Proportional to 1,832.10, 2,744.10 and 1,508.10

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Solution

The fourth proportional to 1,832.10, 2,744.10 and 1,508.10 is: 2,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.10 : 2,744.10 = 1,508.10 : x
  2. Step 2: Convert to fraction form
    1,832.10/2,744.10 = 1,508.10/x
  3. Step 3: Cross multiply
    1,832.10x = 2,744.10 × 1,508.10
  4. Step 4: Simplify right side
    1,832.10x = 4,138,377.21
  5. Step 5: Solve for x
    x = 4,138,377.21/1,832.10
  6. Step 6: Final answer
    x = 2,258.82

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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.