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Finding the Fourth Proportional to 1,647.21, 2,471.26 and 952.61

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Solution

The fourth proportional to 1,647.21, 2,471.26 and 952.61 is: 1,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.21 : 2,471.26 = 952.61 : x
  2. Step 2: Convert to fraction form
    1,647.21/2,471.26 = 952.61/x
  3. Step 3: Cross multiply
    1,647.21x = 2,471.26 × 952.61
  4. Step 4: Simplify right side
    1,647.21x = 2,354,137.01
  5. Step 5: Solve for x
    x = 2,354,137.01/1,647.21
  6. Step 6: Final answer
    x = 1,429.17

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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.