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Finding the Fourth Proportional to 3,114.33, 4,657.71 and 2,770.08

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Solution

The fourth proportional to 3,114.33, 4,657.71 and 2,770.08 is: 4,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.33 : 4,657.71 = 2,770.08 : x
  2. Step 2: Convert to fraction form
    3,114.33/4,657.71 = 2,770.08/x
  3. Step 3: Cross multiply
    3,114.33x = 4,657.71 × 2,770.08
  4. Step 4: Simplify right side
    3,114.33x = 12,902,229.32
  5. Step 5: Solve for x
    x = 12,902,229.32/3,114.33
  6. Step 6: Final answer
    x = 4,142.86

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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.