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Finding the Fourth Proportional to 1,648.53, 2,469.21 and 825.38

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Solution

The fourth proportional to 1,648.53, 2,469.21 and 825.38 is: 1,236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.53 : 2,469.21 = 825.38 : x
  2. Step 2: Convert to fraction form
    1,648.53/2,469.21 = 825.38/x
  3. Step 3: Cross multiply
    1,648.53x = 2,469.21 × 825.38
  4. Step 4: Simplify right side
    1,648.53x = 2,038,024.20
  5. Step 5: Solve for x
    x = 2,038,024.20/1,648.53
  6. Step 6: Final answer
    x = 1,236.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.