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Finding the Fourth Proportional to 1,874.92, 2,813.34 and 1,366.12

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Solution

The fourth proportional to 1,874.92, 2,813.34 and 1,366.12 is: 2,049.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.92 : 2,813.34 = 1,366.12 : x
  2. Step 2: Convert to fraction form
    1,874.92/2,813.34 = 1,366.12/x
  3. Step 3: Cross multiply
    1,874.92x = 2,813.34 × 1,366.12
  4. Step 4: Simplify right side
    1,874.92x = 3,843,360.04
  5. Step 5: Solve for x
    x = 3,843,360.04/1,874.92
  6. Step 6: Final answer
    x = 2,049.88

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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.