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Finding the Fourth Proportional to 3,196.38, 4,410.69 and 1,869.83

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Solution

The fourth proportional to 3,196.38, 4,410.69 and 1,869.83 is: 2,580.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.38 : 4,410.69 = 1,869.83 : x
  2. Step 2: Convert to fraction form
    3,196.38/4,410.69 = 1,869.83/x
  3. Step 3: Cross multiply
    3,196.38x = 4,410.69 × 1,869.83
  4. Step 4: Simplify right side
    3,196.38x = 8,247,240.48
  5. Step 5: Solve for x
    x = 8,247,240.48/3,196.38
  6. Step 6: Final answer
    x = 2,580.18

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Why These Related Problems?

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