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Finding the Fourth Proportional to 2,746.14, 4,119.62 and 798.09

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Solution

The fourth proportional to 2,746.14, 4,119.62 and 798.09 is: 1,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.14 : 4,119.62 = 798.09 : x
  2. Step 2: Convert to fraction form
    2,746.14/4,119.62 = 798.09/x
  3. Step 3: Cross multiply
    2,746.14x = 4,119.62 × 798.09
  4. Step 4: Simplify right side
    2,746.14x = 3,287,808.09
  5. Step 5: Solve for x
    x = 3,287,808.09/2,746.14
  6. Step 6: Final answer
    x = 1,197.25

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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.