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Finding the Fourth Proportional to 2,383.57, 3,576.72 and 824.05

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Solution

The fourth proportional to 2,383.57, 3,576.72 and 824.05 is: 1,236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.57 : 3,576.72 = 824.05 : x
  2. Step 2: Convert to fraction form
    2,383.57/3,576.72 = 824.05/x
  3. Step 3: Cross multiply
    2,383.57x = 3,576.72 × 824.05
  4. Step 4: Simplify right side
    2,383.57x = 2,947,396.12
  5. Step 5: Solve for x
    x = 2,947,396.12/2,383.57
  6. Step 6: Final answer
    x = 1,236.55

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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.