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Finding the Fourth Proportional to 2,942.78, 4,418.03 and 1,973.22

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Solution

The fourth proportional to 2,942.78, 4,418.03 and 1,973.22 is: 2,962.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.78 : 4,418.03 = 1,973.22 : x
  2. Step 2: Convert to fraction form
    2,942.78/4,418.03 = 1,973.22/x
  3. Step 3: Cross multiply
    2,942.78x = 4,418.03 × 1,973.22
  4. Step 4: Simplify right side
    2,942.78x = 8,717,745.16
  5. Step 5: Solve for x
    x = 8,717,745.16/2,942.78
  6. Step 6: Final answer
    x = 2,962.42

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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.