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Finding the Fourth Proportional to 2,770.54, 3,822.37 and 1,776.37

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Solution

The fourth proportional to 2,770.54, 3,822.37 and 1,776.37 is: 2,450.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.54 : 3,822.37 = 1,776.37 : x
  2. Step 2: Convert to fraction form
    2,770.54/3,822.37 = 1,776.37/x
  3. Step 3: Cross multiply
    2,770.54x = 3,822.37 × 1,776.37
  4. Step 4: Simplify right side
    2,770.54x = 6,789,943.40
  5. Step 5: Solve for x
    x = 6,789,943.40/2,770.54
  6. Step 6: Final answer
    x = 2,450.77

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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.