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Finding the Fourth Proportional to 1,839.70, 2,759.71 and 523.46

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Solution

The fourth proportional to 1,839.70, 2,759.71 and 523.46 is: 785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.70 : 2,759.71 = 523.46 : x
  2. Step 2: Convert to fraction form
    1,839.70/2,759.71 = 523.46/x
  3. Step 3: Cross multiply
    1,839.70x = 2,759.71 × 523.46
  4. Step 4: Simplify right side
    1,839.70x = 1,444,597.80
  5. Step 5: Solve for x
    x = 1,444,597.80/1,839.70
  6. Step 6: Final answer
    x = 785.24

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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.