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Finding the Fourth Proportional to 2,092.91, 3,139.73 and 631.94

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Solution

The fourth proportional to 2,092.91, 3,139.73 and 631.94 is: 948.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.91 : 3,139.73 = 631.94 : x
  2. Step 2: Convert to fraction form
    2,092.91/3,139.73 = 631.94/x
  3. Step 3: Cross multiply
    2,092.91x = 3,139.73 × 631.94
  4. Step 4: Simplify right side
    2,092.91x = 1,984,120.98
  5. Step 5: Solve for x
    x = 1,984,120.98/2,092.91
  6. Step 6: Final answer
    x = 948.02

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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.