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Finding the Fourth Proportional to 2,813.00, 3,877.61 and 2,314.76

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Solution

The fourth proportional to 2,813.00, 3,877.61 and 2,314.76 is: 3,190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.00 : 3,877.61 = 2,314.76 : x
  2. Step 2: Convert to fraction form
    2,813.00/3,877.61 = 2,314.76/x
  3. Step 3: Cross multiply
    2,813.00x = 3,877.61 × 2,314.76
  4. Step 4: Simplify right side
    2,813.00x = 8,975,705.56
  5. Step 5: Solve for x
    x = 8,975,705.56/2,813.00
  6. Step 6: Final answer
    x = 3,190.80

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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.