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Finding the Fourth Proportional to 4,605.49, 6,902.46 and 1,969.90

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Solution

The fourth proportional to 4,605.49, 6,902.46 and 1,969.90 is: 2,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.49 : 6,902.46 = 1,969.90 : x
  2. Step 2: Convert to fraction form
    4,605.49/6,902.46 = 1,969.90/x
  3. Step 3: Cross multiply
    4,605.49x = 6,902.46 × 1,969.90
  4. Step 4: Simplify right side
    4,605.49x = 13,597,131.31
  5. Step 5: Solve for x
    x = 13,597,131.31/4,605.49
  6. Step 6: Final answer
    x = 2,952.37

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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.