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Finding the Fourth Proportional to 1,933.96, 2,884.70 and 1,759

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Solution

The fourth proportional to 1,933.96, 2,884.70 and 1,759 is: 2,623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.96 : 2,884.70 = 1,759 : x
  2. Step 2: Convert to fraction form
    1,933.96/2,884.70 = 1,759/x
  3. Step 3: Cross multiply
    1,933.96x = 2,884.70 × 1,759
  4. Step 4: Simplify right side
    1,933.96x = 5,074,187.30
  5. Step 5: Solve for x
    x = 5,074,187.30/1,933.96
  6. Step 6: Final answer
    x = 2,623.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.