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Finding the Fourth Proportional to 2,805.49, 3,869.60 and 1,811.15

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Solution

The fourth proportional to 2,805.49, 3,869.60 and 1,811.15 is: 2,498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.49 : 3,869.60 = 1,811.15 : x
  2. Step 2: Convert to fraction form
    2,805.49/3,869.60 = 1,811.15/x
  3. Step 3: Cross multiply
    2,805.49x = 3,869.60 × 1,811.15
  4. Step 4: Simplify right side
    2,805.49x = 7,008,426.04
  5. Step 5: Solve for x
    x = 7,008,426.04/2,805.49
  6. Step 6: Final answer
    x = 2,498.11

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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.