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Finding the Fourth Proportional to 2,299.77, 3,169.98 and 1,553.49

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Solution

The fourth proportional to 2,299.77, 3,169.98 and 1,553.49 is: 2,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.77 : 3,169.98 = 1,553.49 : x
  2. Step 2: Convert to fraction form
    2,299.77/3,169.98 = 1,553.49/x
  3. Step 3: Cross multiply
    2,299.77x = 3,169.98 × 1,553.49
  4. Step 4: Simplify right side
    2,299.77x = 4,924,532.23
  5. Step 5: Solve for x
    x = 4,924,532.23/2,299.77
  6. Step 6: Final answer
    x = 2,141.32

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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.