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Finding the Fourth Proportional to 3,087.92, 4,259.18 and 1,969.14

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Solution

The fourth proportional to 3,087.92, 4,259.18 and 1,969.14 is: 2,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.92 : 4,259.18 = 1,969.14 : x
  2. Step 2: Convert to fraction form
    3,087.92/4,259.18 = 1,969.14/x
  3. Step 3: Cross multiply
    3,087.92x = 4,259.18 × 1,969.14
  4. Step 4: Simplify right side
    3,087.92x = 8,386,942.60
  5. Step 5: Solve for x
    x = 8,386,942.60/3,087.92
  6. Step 6: Final answer
    x = 2,716.05

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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.