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Finding the Fourth Proportional to 2,012.78, 2,782.77 and 1,517.96

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Solution

The fourth proportional to 2,012.78, 2,782.77 and 1,517.96 is: 2,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.78 : 2,782.77 = 1,517.96 : x
  2. Step 2: Convert to fraction form
    2,012.78/2,782.77 = 1,517.96/x
  3. Step 3: Cross multiply
    2,012.78x = 2,782.77 × 1,517.96
  4. Step 4: Simplify right side
    2,012.78x = 4,224,133.55
  5. Step 5: Solve for x
    x = 4,224,133.55/2,012.78
  6. Step 6: Final answer
    x = 2,098.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.