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Finding the Fourth Proportional to 2,766.30, 4,145.76 and 2,473.44

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Solution

The fourth proportional to 2,766.30, 4,145.76 and 2,473.44 is: 3,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.30 : 4,145.76 = 2,473.44 : x
  2. Step 2: Convert to fraction form
    2,766.30/4,145.76 = 2,473.44/x
  3. Step 3: Cross multiply
    2,766.30x = 4,145.76 × 2,473.44
  4. Step 4: Simplify right side
    2,766.30x = 10,254,288.61
  5. Step 5: Solve for x
    x = 10,254,288.61/2,766.30
  6. Step 6: Final answer
    x = 3,706.86

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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.