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Finding the Fourth Proportional to 2,076.93, 2,865.94 and 1,280.12

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Solution

The fourth proportional to 2,076.93, 2,865.94 and 1,280.12 is: 1,766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.93 : 2,865.94 = 1,280.12 : x
  2. Step 2: Convert to fraction form
    2,076.93/2,865.94 = 1,280.12/x
  3. Step 3: Cross multiply
    2,076.93x = 2,865.94 × 1,280.12
  4. Step 4: Simplify right side
    2,076.93x = 3,668,729.58
  5. Step 5: Solve for x
    x = 3,668,729.58/2,076.93
  6. Step 6: Final answer
    x = 1,766.42

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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.