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Finding the Fourth Proportional to 1,647.75, 2,471.78 and 552.13

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Solution

The fourth proportional to 1,647.75, 2,471.78 and 552.13 is: 828.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.75 : 2,471.78 = 552.13 : x
  2. Step 2: Convert to fraction form
    1,647.75/2,471.78 = 552.13/x
  3. Step 3: Cross multiply
    1,647.75x = 2,471.78 × 552.13
  4. Step 4: Simplify right side
    1,647.75x = 1,364,739.09
  5. Step 5: Solve for x
    x = 1,364,739.09/1,647.75
  6. Step 6: Final answer
    x = 828.24

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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.