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Finding the Fourth Proportional to 2,076.93, 3,116.61 and 844.25

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Solution

The fourth proportional to 2,076.93, 3,116.61 and 844.25 is: 1,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.93 : 3,116.61 = 844.25 : x
  2. Step 2: Convert to fraction form
    2,076.93/3,116.61 = 844.25/x
  3. Step 3: Cross multiply
    2,076.93x = 3,116.61 × 844.25
  4. Step 4: Simplify right side
    2,076.93x = 2,631,182.41
  5. Step 5: Solve for x
    x = 2,631,182.41/2,076.93
  6. Step 6: Final answer
    x = 1,266.86

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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.