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Finding the Fourth Proportional to 2,096.99, 3,142.71 and 1,751

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Solution

The fourth proportional to 2,096.99, 3,142.71 and 1,751 is: 2,624.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.99 : 3,142.71 = 1,751 : x
  2. Step 2: Convert to fraction form
    2,096.99/3,142.71 = 1,751/x
  3. Step 3: Cross multiply
    2,096.99x = 3,142.71 × 1,751
  4. Step 4: Simplify right side
    2,096.99x = 5,502,885.21
  5. Step 5: Solve for x
    x = 5,502,885.21/2,096.99
  6. Step 6: Final answer
    x = 2,624.18

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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.