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Finding the Fourth Proportional to 1,704.52, 2,337.77 and 1,633.96

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Solution

The fourth proportional to 1,704.52, 2,337.77 and 1,633.96 is: 2,241.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.52 : 2,337.77 = 1,633.96 : x
  2. Step 2: Convert to fraction form
    1,704.52/2,337.77 = 1,633.96/x
  3. Step 3: Cross multiply
    1,704.52x = 2,337.77 × 1,633.96
  4. Step 4: Simplify right side
    1,704.52x = 3,819,822.67
  5. Step 5: Solve for x
    x = 3,819,822.67/1,704.52
  6. Step 6: Final answer
    x = 2,241.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.