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Finding the Fourth Proportional to 1,647.53, 2,469.65 and 823.28

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Solution

The fourth proportional to 1,647.53, 2,469.65 and 823.28 is: 1,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.53 : 2,469.65 = 823.28 : x
  2. Step 2: Convert to fraction form
    1,647.53/2,469.65 = 823.28/x
  3. Step 3: Cross multiply
    1,647.53x = 2,469.65 × 823.28
  4. Step 4: Simplify right side
    1,647.53x = 2,033,215.51
  5. Step 5: Solve for x
    x = 2,033,215.51/1,647.53
  6. Step 6: Final answer
    x = 1,234.10

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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.