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Finding the Fourth Proportional to 3,095.92, 4,640.04 and 2,182

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Solution

The fourth proportional to 3,095.92, 4,640.04 and 2,182 is: 3,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.92 : 4,640.04 = 2,182 : x
  2. Step 2: Convert to fraction form
    3,095.92/4,640.04 = 2,182/x
  3. Step 3: Cross multiply
    3,095.92x = 4,640.04 × 2,182
  4. Step 4: Simplify right side
    3,095.92x = 10,124,567.28
  5. Step 5: Solve for x
    x = 10,124,567.28/3,095.92
  6. Step 6: Final answer
    x = 3,270.29

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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.