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Finding the Fourth Proportional to 2,096.82, 3,144.15 and 780.03

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Solution

The fourth proportional to 2,096.82, 3,144.15 and 780.03 is: 1,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.82 : 3,144.15 = 780.03 : x
  2. Step 2: Convert to fraction form
    2,096.82/3,144.15 = 780.03/x
  3. Step 3: Cross multiply
    2,096.82x = 3,144.15 × 780.03
  4. Step 4: Simplify right side
    2,096.82x = 2,452,531.32
  5. Step 5: Solve for x
    x = 2,452,531.32/2,096.82
  6. Step 6: Final answer
    x = 1,169.64

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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.