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Finding the Fourth Proportional to 2,786.38, 4,174.34 and 1,398.08

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Solution

The fourth proportional to 2,786.38, 4,174.34 and 1,398.08 is: 2,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.38 : 4,174.34 = 1,398.08 : x
  2. Step 2: Convert to fraction form
    2,786.38/4,174.34 = 1,398.08/x
  3. Step 3: Cross multiply
    2,786.38x = 4,174.34 × 1,398.08
  4. Step 4: Simplify right side
    2,786.38x = 5,836,061.27
  5. Step 5: Solve for x
    x = 5,836,061.27/2,786.38
  6. Step 6: Final answer
    x = 2,094.50

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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.