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Finding the Fourth Proportional to 2,963.66, 4,446.77 and 2,416.91

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Solution

The fourth proportional to 2,963.66, 4,446.77 and 2,416.91 is: 3,626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.66 : 4,446.77 = 2,416.91 : x
  2. Step 2: Convert to fraction form
    2,963.66/4,446.77 = 2,416.91/x
  3. Step 3: Cross multiply
    2,963.66x = 4,446.77 × 2,416.91
  4. Step 4: Simplify right side
    2,963.66x = 10,747,408.56
  5. Step 5: Solve for x
    x = 10,747,408.56/2,963.66
  6. Step 6: Final answer
    x = 3,626.40

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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.