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Finding the Fourth Proportional to 2,096.70, 3,143.52 and 709.20

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Solution

The fourth proportional to 2,096.70, 3,143.52 and 709.20 is: 1,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.70 : 3,143.52 = 709.20 : x
  2. Step 2: Convert to fraction form
    2,096.70/3,143.52 = 709.20/x
  3. Step 3: Cross multiply
    2,096.70x = 3,143.52 × 709.20
  4. Step 4: Simplify right side
    2,096.70x = 2,229,384.38
  5. Step 5: Solve for x
    x = 2,229,384.38/2,096.70
  6. Step 6: Final answer
    x = 1,063.28

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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.