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Finding the Fourth Proportional to 2,283.78, 3,423.24 and 1,632.54

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Solution

The fourth proportional to 2,283.78, 3,423.24 and 1,632.54 is: 2,447.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.78 : 3,423.24 = 1,632.54 : x
  2. Step 2: Convert to fraction form
    2,283.78/3,423.24 = 1,632.54/x
  3. Step 3: Cross multiply
    2,283.78x = 3,423.24 × 1,632.54
  4. Step 4: Simplify right side
    2,283.78x = 5,588,576.23
  5. Step 5: Solve for x
    x = 5,588,576.23/2,283.78
  6. Step 6: Final answer
    x = 2,447.07

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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.