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Finding the Fourth Proportional to 3,371.60, 5,057.36 and 1,179.68

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Solution

The fourth proportional to 3,371.60, 5,057.36 and 1,179.68 is: 1,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,371.60 : 5,057.36 = 1,179.68 : x
  2. Step 2: Convert to fraction form
    3,371.60/5,057.36 = 1,179.68/x
  3. Step 3: Cross multiply
    3,371.60x = 5,057.36 × 1,179.68
  4. Step 4: Simplify right side
    3,371.60x = 5,966,066.44
  5. Step 5: Solve for x
    x = 5,966,066.44/3,371.60
  6. Step 6: Final answer
    x = 1,769.51

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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.