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Finding the Fourth Proportional to 1,894.63, 2,842.31 and 662.39

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Solution

The fourth proportional to 1,894.63, 2,842.31 and 662.39 is: 993.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.63 : 2,842.31 = 662.39 : x
  2. Step 2: Convert to fraction form
    1,894.63/2,842.31 = 662.39/x
  3. Step 3: Cross multiply
    1,894.63x = 2,842.31 × 662.39
  4. Step 4: Simplify right side
    1,894.63x = 1,882,717.72
  5. Step 5: Solve for x
    x = 1,882,717.72/1,894.63
  6. Step 6: Final answer
    x = 993.71

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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.