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Finding the Fourth Proportional to 2,376.91, 3,563.20 and 1,644.13

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Solution

The fourth proportional to 2,376.91, 3,563.20 and 1,644.13 is: 2,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.91 : 3,563.20 = 1,644.13 : x
  2. Step 2: Convert to fraction form
    2,376.91/3,563.20 = 1,644.13/x
  3. Step 3: Cross multiply
    2,376.91x = 3,563.20 × 1,644.13
  4. Step 4: Simplify right side
    2,376.91x = 5,858,364.02
  5. Step 5: Solve for x
    x = 5,858,364.02/2,376.91
  6. Step 6: Final answer
    x = 2,464.70

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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.