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Finding the Fourth Proportional to 2,171.94, 3,255.75 and 1,247.19

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Solution

The fourth proportional to 2,171.94, 3,255.75 and 1,247.19 is: 1,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.94 : 3,255.75 = 1,247.19 : x
  2. Step 2: Convert to fraction form
    2,171.94/3,255.75 = 1,247.19/x
  3. Step 3: Cross multiply
    2,171.94x = 3,255.75 × 1,247.19
  4. Step 4: Simplify right side
    2,171.94x = 4,060,538.84
  5. Step 5: Solve for x
    x = 4,060,538.84/2,171.94
  6. Step 6: Final answer
    x = 1,869.54

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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.