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Finding the Fourth Proportional to 2,806.09, 3,871.72 and 1,811.15

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Solution

The fourth proportional to 2,806.09, 3,871.72 and 1,811.15 is: 2,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.09 : 3,871.72 = 1,811.15 : x
  2. Step 2: Convert to fraction form
    2,806.09/3,871.72 = 1,811.15/x
  3. Step 3: Cross multiply
    2,806.09x = 3,871.72 × 1,811.15
  4. Step 4: Simplify right side
    2,806.09x = 7,012,270.83
  5. Step 5: Solve for x
    x = 7,012,270.83/2,806.09
  6. Step 6: Final answer
    x = 2,498.95

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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.