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Finding the Fourth Proportional to 2,834.78, 3,910.56 and 1,840.61

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Solution

The fourth proportional to 2,834.78, 3,910.56 and 1,840.61 is: 2,539.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.78 : 3,910.56 = 1,840.61 : x
  2. Step 2: Convert to fraction form
    2,834.78/3,910.56 = 1,840.61/x
  3. Step 3: Cross multiply
    2,834.78x = 3,910.56 × 1,840.61
  4. Step 4: Simplify right side
    2,834.78x = 7,197,815.84
  5. Step 5: Solve for x
    x = 7,197,815.84/2,834.78
  6. Step 6: Final answer
    x = 2,539.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.