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Finding the Fourth Proportional to 2,092.33, 3,137.91 and 631.50

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Solution

The fourth proportional to 2,092.33, 3,137.91 and 631.50 is: 947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.33 : 3,137.91 = 631.50 : x
  2. Step 2: Convert to fraction form
    2,092.33/3,137.91 = 631.50/x
  3. Step 3: Cross multiply
    2,092.33x = 3,137.91 × 631.50
  4. Step 4: Simplify right side
    2,092.33x = 1,981,590.17
  5. Step 5: Solve for x
    x = 1,981,590.17/2,092.33
  6. Step 6: Final answer
    x = 947.07

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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.