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Finding the Fourth Proportional to 2,277.78, 3,410.11 and 2,040.34

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Solution

The fourth proportional to 2,277.78, 3,410.11 and 2,040.34 is: 3,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.78 : 3,410.11 = 2,040.34 : x
  2. Step 2: Convert to fraction form
    2,277.78/3,410.11 = 2,040.34/x
  3. Step 3: Cross multiply
    2,277.78x = 3,410.11 × 2,040.34
  4. Step 4: Simplify right side
    2,277.78x = 6,957,783.84
  5. Step 5: Solve for x
    x = 6,957,783.84/2,277.78
  6. Step 6: Final answer
    x = 3,054.63

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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.