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Finding the Fourth Proportional to 2,942.68, 4,409.16 and 1,969.06

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Solution

The fourth proportional to 2,942.68, 4,409.16 and 1,969.06 is: 2,950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.68 : 4,409.16 = 1,969.06 : x
  2. Step 2: Convert to fraction form
    2,942.68/4,409.16 = 1,969.06/x
  3. Step 3: Cross multiply
    2,942.68x = 4,409.16 × 1,969.06
  4. Step 4: Simplify right side
    2,942.68x = 8,681,900.59
  5. Step 5: Solve for x
    x = 8,681,900.59/2,942.68
  6. Step 6: Final answer
    x = 2,950.34

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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.