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Finding the Fourth Proportional to 2,140.96, 3,204.13 and 1,794.68

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Solution

The fourth proportional to 2,140.96, 3,204.13 and 1,794.68 is: 2,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.96 : 3,204.13 = 1,794.68 : x
  2. Step 2: Convert to fraction form
    2,140.96/3,204.13 = 1,794.68/x
  3. Step 3: Cross multiply
    2,140.96x = 3,204.13 × 1,794.68
  4. Step 4: Simplify right side
    2,140.96x = 5,750,388.03
  5. Step 5: Solve for x
    x = 5,750,388.03/2,140.96
  6. Step 6: Final answer
    x = 2,685.89

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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.