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Finding the Fourth Proportional to 2,471.86, 3,414.50 and 1,978.03

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Solution

The fourth proportional to 2,471.86, 3,414.50 and 1,978.03 is: 2,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.86 : 3,414.50 = 1,978.03 : x
  2. Step 2: Convert to fraction form
    2,471.86/3,414.50 = 1,978.03/x
  3. Step 3: Cross multiply
    2,471.86x = 3,414.50 × 1,978.03
  4. Step 4: Simplify right side
    2,471.86x = 6,753,983.44
  5. Step 5: Solve for x
    x = 6,753,983.44/2,471.86
  6. Step 6: Final answer
    x = 2,732.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.