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Finding the Fourth Proportional to 1,647.54, 2,469.49 and 1,098.97

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Solution

The fourth proportional to 1,647.54, 2,469.49 and 1,098.97 is: 1,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.54 : 2,469.49 = 1,098.97 : x
  2. Step 2: Convert to fraction form
    1,647.54/2,469.49 = 1,098.97/x
  3. Step 3: Cross multiply
    1,647.54x = 2,469.49 × 1,098.97
  4. Step 4: Simplify right side
    1,647.54x = 2,713,886.50
  5. Step 5: Solve for x
    x = 2,713,886.50/1,647.54
  6. Step 6: Final answer
    x = 1,647.24

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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.