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Finding the Fourth Proportional to 2,564.48, 3,846.72 and 1,469.54

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Solution

The fourth proportional to 2,564.48, 3,846.72 and 1,469.54 is: 2,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.48 : 3,846.72 = 1,469.54 : x
  2. Step 2: Convert to fraction form
    2,564.48/3,846.72 = 1,469.54/x
  3. Step 3: Cross multiply
    2,564.48x = 3,846.72 × 1,469.54
  4. Step 4: Simplify right side
    2,564.48x = 5,652,908.91
  5. Step 5: Solve for x
    x = 5,652,908.91/2,564.48
  6. Step 6: Final answer
    x = 2,204.31

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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.