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Finding the Fourth Proportional to 3,415.14, 5,122.77 and 1,223.82

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Solution

The fourth proportional to 3,415.14, 5,122.77 and 1,223.82 is: 1,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.14 : 5,122.77 = 1,223.82 : x
  2. Step 2: Convert to fraction form
    3,415.14/5,122.77 = 1,223.82/x
  3. Step 3: Cross multiply
    3,415.14x = 5,122.77 × 1,223.82
  4. Step 4: Simplify right side
    3,415.14x = 6,269,348.38
  5. Step 5: Solve for x
    x = 6,269,348.38/3,415.14
  6. Step 6: Final answer
    x = 1,835.75

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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.