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Finding the Fourth Proportional to 2,517.78, 3,776.94 and 1,057.62

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Solution

The fourth proportional to 2,517.78, 3,776.94 and 1,057.62 is: 1,586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.78 : 3,776.94 = 1,057.62 : x
  2. Step 2: Convert to fraction form
    2,517.78/3,776.94 = 1,057.62/x
  3. Step 3: Cross multiply
    2,517.78x = 3,776.94 × 1,057.62
  4. Step 4: Simplify right side
    2,517.78x = 3,994,567.28
  5. Step 5: Solve for x
    x = 3,994,567.28/2,517.78
  6. Step 6: Final answer
    x = 1,586.54

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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.