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Finding the Fourth Proportional to 1,892.11, 2,838.62 and 593.58

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Solution

The fourth proportional to 1,892.11, 2,838.62 and 593.58 is: 890.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.11 : 2,838.62 = 593.58 : x
  2. Step 2: Convert to fraction form
    1,892.11/2,838.62 = 593.58/x
  3. Step 3: Cross multiply
    1,892.11x = 2,838.62 × 593.58
  4. Step 4: Simplify right side
    1,892.11x = 1,684,949.54
  5. Step 5: Solve for x
    x = 1,684,949.54/1,892.11
  6. Step 6: Final answer
    x = 890.51

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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.