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Finding the Fourth Proportional to 1,882.03, 2,824.04 and 1,337.71

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Solution

The fourth proportional to 1,882.03, 2,824.04 and 1,337.71 is: 2,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.03 : 2,824.04 = 1,337.71 : x
  2. Step 2: Convert to fraction form
    1,882.03/2,824.04 = 1,337.71/x
  3. Step 3: Cross multiply
    1,882.03x = 2,824.04 × 1,337.71
  4. Step 4: Simplify right side
    1,882.03x = 3,777,739.86
  5. Step 5: Solve for x
    x = 3,777,739.86/1,882.03
  6. Step 6: Final answer
    x = 2,007.27

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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.