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Finding the Fourth Proportional to 2,092.18, 3,137.34 and 631.06

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Solution

The fourth proportional to 2,092.18, 3,137.34 and 631.06 is: 946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.18 : 3,137.34 = 631.06 : x
  2. Step 2: Convert to fraction form
    2,092.18/3,137.34 = 631.06/x
  3. Step 3: Cross multiply
    2,092.18x = 3,137.34 × 631.06
  4. Step 4: Simplify right side
    2,092.18x = 1,979,849.78
  5. Step 5: Solve for x
    x = 1,979,849.78/2,092.18
  6. Step 6: Final answer
    x = 946.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.