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Finding the Fourth Proportional to 2,604.49, 3,899.54 and 1,369.24

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Solution

The fourth proportional to 2,604.49, 3,899.54 and 1,369.24 is: 2,050.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.49 : 3,899.54 = 1,369.24 : x
  2. Step 2: Convert to fraction form
    2,604.49/3,899.54 = 1,369.24/x
  3. Step 3: Cross multiply
    2,604.49x = 3,899.54 × 1,369.24
  4. Step 4: Simplify right side
    2,604.49x = 5,339,399.82
  5. Step 5: Solve for x
    x = 5,339,399.82/2,604.49
  6. Step 6: Final answer
    x = 2,050.08

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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.