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Finding the Fourth Proportional to 3,294.64, 4,941.96 and 1,993.36

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Solution

The fourth proportional to 3,294.64, 4,941.96 and 1,993.36 is: 2,990.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.64 : 4,941.96 = 1,993.36 : x
  2. Step 2: Convert to fraction form
    3,294.64/4,941.96 = 1,993.36/x
  3. Step 3: Cross multiply
    3,294.64x = 4,941.96 × 1,993.36
  4. Step 4: Simplify right side
    3,294.64x = 9,851,105.39
  5. Step 5: Solve for x
    x = 9,851,105.39/3,294.64
  6. Step 6: Final answer
    x = 2,990.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.