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Finding the Fourth Proportional to 2,843.76, 4,261.60 and 2,140.50

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Solution

The fourth proportional to 2,843.76, 4,261.60 and 2,140.50 is: 3,207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.76 : 4,261.60 = 2,140.50 : x
  2. Step 2: Convert to fraction form
    2,843.76/4,261.60 = 2,140.50/x
  3. Step 3: Cross multiply
    2,843.76x = 4,261.60 × 2,140.50
  4. Step 4: Simplify right side
    2,843.76x = 9,121,954.80
  5. Step 5: Solve for x
    x = 9,121,954.80/2,843.76
  6. Step 6: Final answer
    x = 3,207.71

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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.