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Finding the Fourth Proportional to 2,092.83, 3,140.46 and 938.58

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Solution

The fourth proportional to 2,092.83, 3,140.46 and 938.58 is: 1,408.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.83 : 3,140.46 = 938.58 : x
  2. Step 2: Convert to fraction form
    2,092.83/3,140.46 = 938.58/x
  3. Step 3: Cross multiply
    2,092.83x = 3,140.46 × 938.58
  4. Step 4: Simplify right side
    2,092.83x = 2,947,572.95
  5. Step 5: Solve for x
    x = 2,947,572.95/2,092.83
  6. Step 6: Final answer
    x = 1,408.41

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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.