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Finding the Fourth Proportional to 2,188.91, 3,269.86 and 1,969.19

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Solution

The fourth proportional to 2,188.91, 3,269.86 and 1,969.19 is: 2,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.91 : 3,269.86 = 1,969.19 : x
  2. Step 2: Convert to fraction form
    2,188.91/3,269.86 = 1,969.19/x
  3. Step 3: Cross multiply
    2,188.91x = 3,269.86 × 1,969.19
  4. Step 4: Simplify right side
    2,188.91x = 6,438,975.61
  5. Step 5: Solve for x
    x = 6,438,975.61/2,188.91
  6. Step 6: Final answer
    x = 2,941.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.