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Finding the Fourth Proportional to 3,311.47, 4,569.92 and 1,819.43

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Solution

The fourth proportional to 3,311.47, 4,569.92 and 1,819.43 is: 2,510.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.47 : 4,569.92 = 1,819.43 : x
  2. Step 2: Convert to fraction form
    3,311.47/4,569.92 = 1,819.43/x
  3. Step 3: Cross multiply
    3,311.47x = 4,569.92 × 1,819.43
  4. Step 4: Simplify right side
    3,311.47x = 8,314,617.60
  5. Step 5: Solve for x
    x = 8,314,617.60/3,311.47
  6. Step 6: Final answer
    x = 2,510.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.