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Finding the Fourth Proportional to 2,770.62, 4,145.13 and 1,902.30

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Solution

The fourth proportional to 2,770.62, 4,145.13 and 1,902.30 is: 2,846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.62 : 4,145.13 = 1,902.30 : x
  2. Step 2: Convert to fraction form
    2,770.62/4,145.13 = 1,902.30/x
  3. Step 3: Cross multiply
    2,770.62x = 4,145.13 × 1,902.30
  4. Step 4: Simplify right side
    2,770.62x = 7,885,280.80
  5. Step 5: Solve for x
    x = 7,885,280.80/2,770.62
  6. Step 6: Final answer
    x = 2,846.03

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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.