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Finding the Fourth Proportional to 3,294.02, 4,941.00 and 1,344.85

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Solution

The fourth proportional to 3,294.02, 4,941.00 and 1,344.85 is: 2,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.02 : 4,941.00 = 1,344.85 : x
  2. Step 2: Convert to fraction form
    3,294.02/4,941.00 = 1,344.85/x
  3. Step 3: Cross multiply
    3,294.02x = 4,941.00 × 1,344.85
  4. Step 4: Simplify right side
    3,294.02x = 6,644,912.84
  5. Step 5: Solve for x
    x = 6,644,912.84/3,294.02
  6. Step 6: Final answer
    x = 2,017.27

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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.