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Finding the Fourth Proportional to 2,998.86, 4,490.41 and 2,410.74

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Solution

The fourth proportional to 2,998.86, 4,490.41 and 2,410.74 is: 3,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.86 : 4,490.41 = 2,410.74 : x
  2. Step 2: Convert to fraction form
    2,998.86/4,490.41 = 2,410.74/x
  3. Step 3: Cross multiply
    2,998.86x = 4,490.41 × 2,410.74
  4. Step 4: Simplify right side
    2,998.86x = 10,825,211.00
  5. Step 5: Solve for x
    x = 10,825,211.00/2,998.86
  6. Step 6: Final answer
    x = 3,609.78

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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.