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Finding the Fourth Proportional to 1,647.97, 2,472.17 and 552.10

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Solution

The fourth proportional to 1,647.97, 2,472.17 and 552.10 is: 828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.97 : 2,472.17 = 552.10 : x
  2. Step 2: Convert to fraction form
    1,647.97/2,472.17 = 552.10/x
  3. Step 3: Cross multiply
    1,647.97x = 2,472.17 × 552.10
  4. Step 4: Simplify right side
    1,647.97x = 1,364,885.06
  5. Step 5: Solve for x
    x = 1,364,885.06/1,647.97
  6. Step 6: Final answer
    x = 828.22

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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.