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Finding the Fourth Proportional to 1,839.85, 2,759.77 and 453.21

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Solution

The fourth proportional to 1,839.85, 2,759.77 and 453.21 is: 679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.85 : 2,759.77 = 453.21 : x
  2. Step 2: Convert to fraction form
    1,839.85/2,759.77 = 453.21/x
  3. Step 3: Cross multiply
    1,839.85x = 2,759.77 × 453.21
  4. Step 4: Simplify right side
    1,839.85x = 1,250,756.49
  5. Step 5: Solve for x
    x = 1,250,756.49/1,839.85
  6. Step 6: Final answer
    x = 679.82

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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.