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Finding the Fourth Proportional to 2,786.54, 4,176.78 and 1,141.14

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Solution

The fourth proportional to 2,786.54, 4,176.78 and 1,141.14 is: 1,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.54 : 4,176.78 = 1,141.14 : x
  2. Step 2: Convert to fraction form
    2,786.54/4,176.78 = 1,141.14/x
  3. Step 3: Cross multiply
    2,786.54x = 4,176.78 × 1,141.14
  4. Step 4: Simplify right side
    2,786.54x = 4,766,290.73
  5. Step 5: Solve for x
    x = 4,766,290.73/2,786.54
  6. Step 6: Final answer
    x = 1,710.47

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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.