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Finding the Fourth Proportional to 3,408.83, 4,702.78 and 2,149.48

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Solution

The fourth proportional to 3,408.83, 4,702.78 and 2,149.48 is: 2,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.83 : 4,702.78 = 2,149.48 : x
  2. Step 2: Convert to fraction form
    3,408.83/4,702.78 = 2,149.48/x
  3. Step 3: Cross multiply
    3,408.83x = 4,702.78 × 2,149.48
  4. Step 4: Simplify right side
    3,408.83x = 10,108,522.48
  5. Step 5: Solve for x
    x = 10,108,522.48/3,408.83
  6. Step 6: Final answer
    x = 2,965.40

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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.