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Finding the Fourth Proportional to 2,722.63, 3,757.23 and 1,603.69

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Solution

The fourth proportional to 2,722.63, 3,757.23 and 1,603.69 is: 2,213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.63 : 3,757.23 = 1,603.69 : x
  2. Step 2: Convert to fraction form
    2,722.63/3,757.23 = 1,603.69/x
  3. Step 3: Cross multiply
    2,722.63x = 3,757.23 × 1,603.69
  4. Step 4: Simplify right side
    2,722.63x = 6,025,432.18
  5. Step 5: Solve for x
    x = 6,025,432.18/2,722.63
  6. Step 6: Final answer
    x = 2,213.09

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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.