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Finding the Fourth Proportional to 1,647.35, 2,469.59 and 672.83

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Solution

The fourth proportional to 1,647.35, 2,469.59 and 672.83 is: 1,008.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.35 : 2,469.59 = 672.83 : x
  2. Step 2: Convert to fraction form
    1,647.35/2,469.59 = 672.83/x
  3. Step 3: Cross multiply
    1,647.35x = 2,469.59 × 672.83
  4. Step 4: Simplify right side
    1,647.35x = 1,661,614.24
  5. Step 5: Solve for x
    x = 1,661,614.24/1,647.35
  6. Step 6: Final answer
    x = 1,008.66

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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.