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Finding the Fourth Proportional to 3,380.67, 5,069.34 and 2,047.80

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Solution

The fourth proportional to 3,380.67, 5,069.34 and 2,047.80 is: 3,070.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.67 : 5,069.34 = 2,047.80 : x
  2. Step 2: Convert to fraction form
    3,380.67/5,069.34 = 2,047.80/x
  3. Step 3: Cross multiply
    3,380.67x = 5,069.34 × 2,047.80
  4. Step 4: Simplify right side
    3,380.67x = 10,380,994.45
  5. Step 5: Solve for x
    x = 10,380,994.45/3,380.67
  6. Step 6: Final answer
    x = 3,070.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.