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Finding the Fourth Proportional to 2,734.36, 3,771.98 and 1,850.46

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Solution

The fourth proportional to 2,734.36, 3,771.98 and 1,850.46 is: 2,552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.36 : 3,771.98 = 1,850.46 : x
  2. Step 2: Convert to fraction form
    2,734.36/3,771.98 = 1,850.46/x
  3. Step 3: Cross multiply
    2,734.36x = 3,771.98 × 1,850.46
  4. Step 4: Simplify right side
    2,734.36x = 6,979,898.11
  5. Step 5: Solve for x
    x = 6,979,898.11/2,734.36
  6. Step 6: Final answer
    x = 2,552.66

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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.