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Finding the Fourth Proportional to 2,813.11, 3,881.15 and 1,819.64

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Solution

The fourth proportional to 2,813.11, 3,881.15 and 1,819.64 is: 2,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.11 : 3,881.15 = 1,819.64 : x
  2. Step 2: Convert to fraction form
    2,813.11/3,881.15 = 1,819.64/x
  3. Step 3: Cross multiply
    2,813.11x = 3,881.15 × 1,819.64
  4. Step 4: Simplify right side
    2,813.11x = 7,062,295.79
  5. Step 5: Solve for x
    x = 7,062,295.79/2,813.11
  6. Step 6: Final answer
    x = 2,510.49

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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.