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Finding the Fourth Proportional to 1,755.17, 2,633.72 and 974.73

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Solution

The fourth proportional to 1,755.17, 2,633.72 and 974.73 is: 1,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.17 : 2,633.72 = 974.73 : x
  2. Step 2: Convert to fraction form
    1,755.17/2,633.72 = 974.73/x
  3. Step 3: Cross multiply
    1,755.17x = 2,633.72 × 974.73
  4. Step 4: Simplify right side
    1,755.17x = 2,567,170.90
  5. Step 5: Solve for x
    x = 2,567,170.90/1,755.17
  6. Step 6: Final answer
    x = 1,462.63

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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.