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Finding the Fourth Proportional to 3,194.06, 4,403.84 and 2,013.08

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Solution

The fourth proportional to 3,194.06, 4,403.84 and 2,013.08 is: 2,775.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.06 : 4,403.84 = 2,013.08 : x
  2. Step 2: Convert to fraction form
    3,194.06/4,403.84 = 2,013.08/x
  3. Step 3: Cross multiply
    3,194.06x = 4,403.84 × 2,013.08
  4. Step 4: Simplify right side
    3,194.06x = 8,865,250.14
  5. Step 5: Solve for x
    x = 8,865,250.14/3,194.06
  6. Step 6: Final answer
    x = 2,775.55

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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.