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Finding the Fourth Proportional to 1,647.52, 2,473.10 and 674.30

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Solution

The fourth proportional to 1,647.52, 2,473.10 and 674.30 is: 1,012.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.52 : 2,473.10 = 674.30 : x
  2. Step 2: Convert to fraction form
    1,647.52/2,473.10 = 674.30/x
  3. Step 3: Cross multiply
    1,647.52x = 2,473.10 × 674.30
  4. Step 4: Simplify right side
    1,647.52x = 1,667,611.33
  5. Step 5: Solve for x
    x = 1,667,611.33/1,647.52
  6. Step 6: Final answer
    x = 1,012.19

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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.