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Finding the Fourth Proportional to 2,176.20, 3,265.10 and 2,096.20

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Solution

The fourth proportional to 2,176.20, 3,265.10 and 2,096.20 is: 3,145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.20 : 3,265.10 = 2,096.20 : x
  2. Step 2: Convert to fraction form
    2,176.20/3,265.10 = 2,096.20/x
  3. Step 3: Cross multiply
    2,176.20x = 3,265.10 × 2,096.20
  4. Step 4: Simplify right side
    2,176.20x = 6,844,302.62
  5. Step 5: Solve for x
    x = 6,844,302.62/2,176.20
  6. Step 6: Final answer
    x = 3,145.07

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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.