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Finding the Fourth Proportional to 2,722.99, 3,758.49 and 1,604.57

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Solution

The fourth proportional to 2,722.99, 3,758.49 and 1,604.57 is: 2,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.99 : 3,758.49 = 1,604.57 : x
  2. Step 2: Convert to fraction form
    2,722.99/3,758.49 = 1,604.57/x
  3. Step 3: Cross multiply
    2,722.99x = 3,758.49 × 1,604.57
  4. Step 4: Simplify right side
    2,722.99x = 6,030,760.30
  5. Step 5: Solve for x
    x = 6,030,760.30/2,722.99
  6. Step 6: Final answer
    x = 2,214.76

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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.