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Finding the Fourth Proportional to 2,138.74, 3,190.93 and 1,904.85

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Solution

The fourth proportional to 2,138.74, 3,190.93 and 1,904.85 is: 2,841.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.74 : 3,190.93 = 1,904.85 : x
  2. Step 2: Convert to fraction form
    2,138.74/3,190.93 = 1,904.85/x
  3. Step 3: Cross multiply
    2,138.74x = 3,190.93 × 1,904.85
  4. Step 4: Simplify right side
    2,138.74x = 6,078,238.25
  5. Step 5: Solve for x
    x = 6,078,238.25/2,138.74
  6. Step 6: Final answer
    x = 2,841.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.