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Finding the Fourth Proportional to 2,806.05, 3,870.26 and 2,059.77

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Solution

The fourth proportional to 2,806.05, 3,870.26 and 2,059.77 is: 2,840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.05 : 3,870.26 = 2,059.77 : x
  2. Step 2: Convert to fraction form
    2,806.05/3,870.26 = 2,059.77/x
  3. Step 3: Cross multiply
    2,806.05x = 3,870.26 × 2,059.77
  4. Step 4: Simplify right side
    2,806.05x = 7,971,835.14
  5. Step 5: Solve for x
    x = 7,971,835.14/2,806.05
  6. Step 6: Final answer
    x = 2,840.95

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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.