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Finding the Fourth Proportional to 2,806.60, 4,208.22 and 1,162.18

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Solution

The fourth proportional to 2,806.60, 4,208.22 and 1,162.18 is: 1,742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.60 : 4,208.22 = 1,162.18 : x
  2. Step 2: Convert to fraction form
    2,806.60/4,208.22 = 1,162.18/x
  3. Step 3: Cross multiply
    2,806.60x = 4,208.22 × 1,162.18
  4. Step 4: Simplify right side
    2,806.60x = 4,890,709.12
  5. Step 5: Solve for x
    x = 4,890,709.12/2,806.60
  6. Step 6: Final answer
    x = 1,742.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.