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Finding the Fourth Proportional to 2,141.67, 3,211.29 and 1,276.59

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Solution

The fourth proportional to 2,141.67, 3,211.29 and 1,276.59 is: 1,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.67 : 3,211.29 = 1,276.59 : x
  2. Step 2: Convert to fraction form
    2,141.67/3,211.29 = 1,276.59/x
  3. Step 3: Cross multiply
    2,141.67x = 3,211.29 × 1,276.59
  4. Step 4: Simplify right side
    2,141.67x = 4,099,500.70
  5. Step 5: Solve for x
    x = 4,099,500.70/2,141.67
  6. Step 6: Final answer
    x = 1,914.16

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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.