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Finding the Fourth Proportional to 1,892.43, 2,838.78 and 593.87

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Solution

The fourth proportional to 1,892.43, 2,838.78 and 593.87 is: 890.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.43 : 2,838.78 = 593.87 : x
  2. Step 2: Convert to fraction form
    1,892.43/2,838.78 = 593.87/x
  3. Step 3: Cross multiply
    1,892.43x = 2,838.78 × 593.87
  4. Step 4: Simplify right side
    1,892.43x = 1,685,852.08
  5. Step 5: Solve for x
    x = 1,685,852.08/1,892.43
  6. Step 6: Final answer
    x = 890.84

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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.