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Finding the Fourth Proportional to 1,892.39, 2,838.58 and 593.86

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Solution

The fourth proportional to 1,892.39, 2,838.58 and 593.86 is: 890.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.39 : 2,838.58 = 593.86 : x
  2. Step 2: Convert to fraction form
    1,892.39/2,838.58 = 593.86/x
  3. Step 3: Cross multiply
    1,892.39x = 2,838.58 × 593.86
  4. Step 4: Simplify right side
    1,892.39x = 1,685,719.12
  5. Step 5: Solve for x
    x = 1,685,719.12/1,892.39
  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.