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Finding the Fourth Proportional to 2,065.86, 3,098.34 and 604.62

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Solution

The fourth proportional to 2,065.86, 3,098.34 and 604.62 is: 906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.86 : 3,098.34 = 604.62 : x
  2. Step 2: Convert to fraction form
    2,065.86/3,098.34 = 604.62/x
  3. Step 3: Cross multiply
    2,065.86x = 3,098.34 × 604.62
  4. Step 4: Simplify right side
    2,065.86x = 1,873,318.33
  5. Step 5: Solve for x
    x = 1,873,318.33/2,065.86
  6. Step 6: Final answer
    x = 906.80

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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.