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Finding the Fourth Proportional to 3,174.31, 4,755.34 and 1,783.43

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Solution

The fourth proportional to 3,174.31, 4,755.34 and 1,783.43 is: 2,671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.31 : 4,755.34 = 1,783.43 : x
  2. Step 2: Convert to fraction form
    3,174.31/4,755.34 = 1,783.43/x
  3. Step 3: Cross multiply
    3,174.31x = 4,755.34 × 1,783.43
  4. Step 4: Simplify right side
    3,174.31x = 8,480,816.02
  5. Step 5: Solve for x
    x = 8,480,816.02/3,174.31
  6. Step 6: Final answer
    x = 2,671.70

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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.