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Finding the Fourth Proportional to 2,838.81, 4,257.89 and 759.00

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Solution

The fourth proportional to 2,838.81, 4,257.89 and 759.00 is: 1,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.81 : 4,257.89 = 759.00 : x
  2. Step 2: Convert to fraction form
    2,838.81/4,257.89 = 759.00/x
  3. Step 3: Cross multiply
    2,838.81x = 4,257.89 × 759.00
  4. Step 4: Simplify right side
    2,838.81x = 3,231,719.74
  5. Step 5: Solve for x
    x = 3,231,719.74/2,838.81
  6. Step 6: Final answer
    x = 1,138.41

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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.