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Finding the Fourth Proportional to 3,404.80, 4,698.80 and 1,892.53

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Solution

The fourth proportional to 3,404.80, 4,698.80 and 1,892.53 is: 2,611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.80 : 4,698.80 = 1,892.53 : x
  2. Step 2: Convert to fraction form
    3,404.80/4,698.80 = 1,892.53/x
  3. Step 3: Cross multiply
    3,404.80x = 4,698.80 × 1,892.53
  4. Step 4: Simplify right side
    3,404.80x = 8,892,607.69
  5. Step 5: Solve for x
    x = 8,892,607.69/3,404.80
  6. Step 6: Final answer
    x = 2,611.78

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