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Finding the Fourth Proportional to 2,742.14, 4,113.89 and 794.36

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Solution

The fourth proportional to 2,742.14, 4,113.89 and 794.36 is: 1,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.14 : 4,113.89 = 794.36 : x
  2. Step 2: Convert to fraction form
    2,742.14/4,113.89 = 794.36/x
  3. Step 3: Cross multiply
    2,742.14x = 4,113.89 × 794.36
  4. Step 4: Simplify right side
    2,742.14x = 3,267,905.69
  5. Step 5: Solve for x
    x = 3,267,905.69/2,742.14
  6. Step 6: Final answer
    x = 1,191.74

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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.