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Finding the Fourth Proportional to 3,293.26, 4,942.32 and 1,561.90

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Solution

The fourth proportional to 3,293.26, 4,942.32 and 1,561.90 is: 2,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.26 : 4,942.32 = 1,561.90 : x
  2. Step 2: Convert to fraction form
    3,293.26/4,942.32 = 1,561.90/x
  3. Step 3: Cross multiply
    3,293.26x = 4,942.32 × 1,561.90
  4. Step 4: Simplify right side
    3,293.26x = 7,719,409.61
  5. Step 5: Solve for x
    x = 7,719,409.61/3,293.26
  6. Step 6: Final answer
    x = 2,344.00

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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.