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Finding the Fourth Proportional to 2,813.10, 3,883.74 and 1,930.20

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Solution

The fourth proportional to 2,813.10, 3,883.74 and 1,930.20 is: 2,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.10 : 3,883.74 = 1,930.20 : x
  2. Step 2: Convert to fraction form
    2,813.10/3,883.74 = 1,930.20/x
  3. Step 3: Cross multiply
    2,813.10x = 3,883.74 × 1,930.20
  4. Step 4: Simplify right side
    2,813.10x = 7,496,385.30
  5. Step 5: Solve for x
    x = 7,496,385.30/2,813.10
  6. Step 6: Final answer
    x = 2,664.81

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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.