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Finding the Fourth Proportional to 2,108.40, 3,165.00 and 1,183.71

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Solution

The fourth proportional to 2,108.40, 3,165.00 and 1,183.71 is: 1,776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.40 : 3,165.00 = 1,183.71 : x
  2. Step 2: Convert to fraction form
    2,108.40/3,165.00 = 1,183.71/x
  3. Step 3: Cross multiply
    2,108.40x = 3,165.00 × 1,183.71
  4. Step 4: Simplify right side
    2,108.40x = 3,746,452.91
  5. Step 5: Solve for x
    x = 3,746,452.91/2,108.40
  6. Step 6: Final answer
    x = 1,776.91

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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.