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Finding the Fourth Proportional to 2,183.77, 3,275.40 and 623.90

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Solution

The fourth proportional to 2,183.77, 3,275.40 and 623.90 is: 935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.77 : 3,275.40 = 623.90 : x
  2. Step 2: Convert to fraction form
    2,183.77/3,275.40 = 623.90/x
  3. Step 3: Cross multiply
    2,183.77x = 3,275.40 × 623.90
  4. Step 4: Simplify right side
    2,183.77x = 2,043,522.06
  5. Step 5: Solve for x
    x = 2,043,522.06/2,183.77
  6. Step 6: Final answer
    x = 935.78

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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.