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Finding the Fourth Proportional to 2,012.67, 2,777.45 and 1,116.41

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Solution

The fourth proportional to 2,012.67, 2,777.45 and 1,116.41 is: 1,540.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.67 : 2,777.45 = 1,116.41 : x
  2. Step 2: Convert to fraction form
    2,012.67/2,777.45 = 1,116.41/x
  3. Step 3: Cross multiply
    2,012.67x = 2,777.45 × 1,116.41
  4. Step 4: Simplify right side
    2,012.67x = 3,100,772.95
  5. Step 5: Solve for x
    x = 3,100,772.95/2,012.67
  6. Step 6: Final answer
    x = 1,540.63

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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.