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Finding the Fourth Proportional to 3,211.88, 4,817.82 and 1,159.88

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Solution

The fourth proportional to 3,211.88, 4,817.82 and 1,159.88 is: 1,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.88 : 4,817.82 = 1,159.88 : x
  2. Step 2: Convert to fraction form
    3,211.88/4,817.82 = 1,159.88/x
  3. Step 3: Cross multiply
    3,211.88x = 4,817.82 × 1,159.88
  4. Step 4: Simplify right side
    3,211.88x = 5,588,093.06
  5. Step 5: Solve for x
    x = 5,588,093.06/3,211.88
  6. Step 6: Final answer
    x = 1,739.82

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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.