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Finding the Fourth Proportional to 1,371.55, 2,057.61 and 786.82

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Solution

The fourth proportional to 1,371.55, 2,057.61 and 786.82 is: 1,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.55 : 2,057.61 = 786.82 : x
  2. Step 2: Convert to fraction form
    1,371.55/2,057.61 = 786.82/x
  3. Step 3: Cross multiply
    1,371.55x = 2,057.61 × 786.82
  4. Step 4: Simplify right side
    1,371.55x = 1,618,958.41
  5. Step 5: Solve for x
    x = 1,618,958.41/1,371.55
  6. Step 6: Final answer
    x = 1,180.39

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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.