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Finding the Fourth Proportional to 2,683.95, 4,022.81 and 2,191.12

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Solution

The fourth proportional to 2,683.95, 4,022.81 and 2,191.12 is: 3,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.95 : 4,022.81 = 2,191.12 : x
  2. Step 2: Convert to fraction form
    2,683.95/4,022.81 = 2,191.12/x
  3. Step 3: Cross multiply
    2,683.95x = 4,022.81 × 2,191.12
  4. Step 4: Simplify right side
    2,683.95x = 8,814,458.98
  5. Step 5: Solve for x
    x = 8,814,458.98/2,683.95
  6. Step 6: Final answer
    x = 3,284.13

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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.