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Finding the Fourth Proportional to 2,146.88, 3,201.09 and 2,108

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Solution

The fourth proportional to 2,146.88, 3,201.09 and 2,108 is: 3,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.88 : 3,201.09 = 2,108 : x
  2. Step 2: Convert to fraction form
    2,146.88/3,201.09 = 2,108/x
  3. Step 3: Cross multiply
    2,146.88x = 3,201.09 × 2,108
  4. Step 4: Simplify right side
    2,146.88x = 6,747,897.72
  5. Step 5: Solve for x
    x = 6,747,897.72/2,146.88
  6. Step 6: Final answer
    x = 3,143.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.