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Finding the Fourth Proportional to 2,093.92, 3,140.16 and 795.76

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Solution

The fourth proportional to 2,093.92, 3,140.16 and 795.76 is: 1,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.92 : 3,140.16 = 795.76 : x
  2. Step 2: Convert to fraction form
    2,093.92/3,140.16 = 795.76/x
  3. Step 3: Cross multiply
    2,093.92x = 3,140.16 × 795.76
  4. Step 4: Simplify right side
    2,093.92x = 2,498,813.72
  5. Step 5: Solve for x
    x = 2,498,813.72/2,093.92
  6. Step 6: Final answer
    x = 1,193.37

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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.