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Finding the Fourth Proportional to 2,809.44, 3,877.89 and 1,813.95

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Solution

The fourth proportional to 2,809.44, 3,877.89 and 1,813.95 is: 2,503.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.44 : 3,877.89 = 1,813.95 : x
  2. Step 2: Convert to fraction form
    2,809.44/3,877.89 = 1,813.95/x
  3. Step 3: Cross multiply
    2,809.44x = 3,877.89 × 1,813.95
  4. Step 4: Simplify right side
    2,809.44x = 7,034,298.57
  5. Step 5: Solve for x
    x = 7,034,298.57/2,809.44
  6. Step 6: Final answer
    x = 2,503.81

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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.