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Finding the Fourth Proportional to 2,194, 3,278.90 and 1,759.12

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Solution

The fourth proportional to 2,194, 3,278.90 and 1,759.12 is: 2,628.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194 : 3,278.90 = 1,759.12 : x
  2. Step 2: Convert to fraction form
    2,194/3,278.90 = 1,759.12/x
  3. Step 3: Cross multiply
    2,194x = 3,278.90 × 1,759.12
  4. Step 4: Simplify right side
    2,194x = 5,767,978.57
  5. Step 5: Solve for x
    x = 5,767,978.57/2,194
  6. Step 6: Final answer
    x = 2,628.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.