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Finding the Fourth Proportional to 2,270.61, 3,402.68 and 1,806.30

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Solution

The fourth proportional to 2,270.61, 3,402.68 and 1,806.30 is: 2,706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.61 : 3,402.68 = 1,806.30 : x
  2. Step 2: Convert to fraction form
    2,270.61/3,402.68 = 1,806.30/x
  3. Step 3: Cross multiply
    2,270.61x = 3,402.68 × 1,806.30
  4. Step 4: Simplify right side
    2,270.61x = 6,146,251.85
  5. Step 5: Solve for x
    x = 6,146,251.85/2,270.61
  6. Step 6: Final answer
    x = 2,706.87

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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.