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Finding the Fourth Proportional to 1,839.28, 2,759.06 and 523.01

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Solution

The fourth proportional to 1,839.28, 2,759.06 and 523.01 is: 784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.28 : 2,759.06 = 523.01 : x
  2. Step 2: Convert to fraction form
    1,839.28/2,759.06 = 523.01/x
  3. Step 3: Cross multiply
    1,839.28x = 2,759.06 × 523.01
  4. Step 4: Simplify right side
    1,839.28x = 1,443,024.18
  5. Step 5: Solve for x
    x = 1,443,024.18/1,839.28
  6. Step 6: Final answer
    x = 784.56

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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.