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Finding the Fourth Proportional to 2,563.89, 3,845.84 and 616.09

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Solution

The fourth proportional to 2,563.89, 3,845.84 and 616.09 is: 924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.89 : 3,845.84 = 616.09 : x
  2. Step 2: Convert to fraction form
    2,563.89/3,845.84 = 616.09/x
  3. Step 3: Cross multiply
    2,563.89x = 3,845.84 × 616.09
  4. Step 4: Simplify right side
    2,563.89x = 2,369,383.57
  5. Step 5: Solve for x
    x = 2,369,383.57/2,563.89
  6. Step 6: Final answer
    x = 924.14

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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.