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Finding the Fourth Proportional to 3,189.70, 4,396.89 and 2,070.46

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Solution

The fourth proportional to 3,189.70, 4,396.89 and 2,070.46 is: 2,854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.70 : 4,396.89 = 2,070.46 : x
  2. Step 2: Convert to fraction form
    3,189.70/4,396.89 = 2,070.46/x
  3. Step 3: Cross multiply
    3,189.70x = 4,396.89 × 2,070.46
  4. Step 4: Simplify right side
    3,189.70x = 9,103,584.87
  5. Step 5: Solve for x
    x = 9,103,584.87/3,189.70
  6. Step 6: Final answer
    x = 2,854.06

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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.