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Finding the Fourth Proportional to 1,892.21, 2,838.69 and 593.78

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Solution

The fourth proportional to 1,892.21, 2,838.69 and 593.78 is: 890.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.21 : 2,838.69 = 593.78 : x
  2. Step 2: Convert to fraction form
    1,892.21/2,838.69 = 593.78/x
  3. Step 3: Cross multiply
    1,892.21x = 2,838.69 × 593.78
  4. Step 4: Simplify right side
    1,892.21x = 1,685,557.35
  5. Step 5: Solve for x
    x = 1,685,557.35/1,892.21
  6. Step 6: Final answer
    x = 890.79

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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.