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Finding the Fourth Proportional to 3,122.78, 4,306.64 and 2,458.44

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Solution

The fourth proportional to 3,122.78, 4,306.64 and 2,458.44 is: 3,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.78 : 4,306.64 = 2,458.44 : x
  2. Step 2: Convert to fraction form
    3,122.78/4,306.64 = 2,458.44/x
  3. Step 3: Cross multiply
    3,122.78x = 4,306.64 × 2,458.44
  4. Step 4: Simplify right side
    3,122.78x = 10,587,603.75
  5. Step 5: Solve for x
    x = 10,587,603.75/3,122.78
  6. Step 6: Final answer
    x = 3,390.45

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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.