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Finding the Fourth Proportional to 2,553.99, 3,524.09 and 1,506.26

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Solution

The fourth proportional to 2,553.99, 3,524.09 and 1,506.26 is: 2,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.99 : 3,524.09 = 1,506.26 : x
  2. Step 2: Convert to fraction form
    2,553.99/3,524.09 = 1,506.26/x
  3. Step 3: Cross multiply
    2,553.99x = 3,524.09 × 1,506.26
  4. Step 4: Simplify right side
    2,553.99x = 5,308,170.65
  5. Step 5: Solve for x
    x = 5,308,170.65/2,553.99
  6. Step 6: Final answer
    x = 2,078.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.