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Finding the Fourth Proportional to 2,096.99, 3,146.00 and 780.79

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Solution

The fourth proportional to 2,096.99, 3,146.00 and 780.79 is: 1,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.99 : 3,146.00 = 780.79 : x
  2. Step 2: Convert to fraction form
    2,096.99/3,146.00 = 780.79/x
  3. Step 3: Cross multiply
    2,096.99x = 3,146.00 × 780.79
  4. Step 4: Simplify right side
    2,096.99x = 2,456,353.57
  5. Step 5: Solve for x
    x = 2,456,353.57/2,096.99
  6. Step 6: Final answer
    x = 1,171.37

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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.