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Finding the Fourth Proportional to 3,195.69, 4,410.35 and 1,869.31

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Solution

The fourth proportional to 3,195.69, 4,410.35 and 1,869.31 is: 2,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.69 : 4,410.35 = 1,869.31 : x
  2. Step 2: Convert to fraction form
    3,195.69/4,410.35 = 1,869.31/x
  3. Step 3: Cross multiply
    3,195.69x = 4,410.35 × 1,869.31
  4. Step 4: Simplify right side
    3,195.69x = 8,244,311.36
  5. Step 5: Solve for x
    x = 8,244,311.36/3,195.69
  6. Step 6: Final answer
    x = 2,579.82

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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.