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Finding the Fourth Proportional to 2,934.90, 4,398.03 and 1,471.05

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Solution

The fourth proportional to 2,934.90, 4,398.03 and 1,471.05 is: 2,204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.90 : 4,398.03 = 1,471.05 : x
  2. Step 2: Convert to fraction form
    2,934.90/4,398.03 = 1,471.05/x
  3. Step 3: Cross multiply
    2,934.90x = 4,398.03 × 1,471.05
  4. Step 4: Simplify right side
    2,934.90x = 6,469,722.03
  5. Step 5: Solve for x
    x = 6,469,722.03/2,934.90
  6. Step 6: Final answer
    x = 2,204.41

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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.