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Finding the Fourth Proportional to 1,892.27, 2,838.50 and 593.75

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Solution

The fourth proportional to 1,892.27, 2,838.50 and 593.75 is: 890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.27 : 2,838.50 = 593.75 : x
  2. Step 2: Convert to fraction form
    1,892.27/2,838.50 = 593.75/x
  3. Step 3: Cross multiply
    1,892.27x = 2,838.50 × 593.75
  4. Step 4: Simplify right side
    1,892.27x = 1,685,359.38
  5. Step 5: Solve for x
    x = 1,685,359.38/1,892.27
  6. Step 6: Final answer
    x = 890.65

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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.