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Finding the Fourth Proportional to 2,918.39, 4,376.91 and 838.38

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Solution

The fourth proportional to 2,918.39, 4,376.91 and 838.38 is: 1,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.39 : 4,376.91 = 838.38 : x
  2. Step 2: Convert to fraction form
    2,918.39/4,376.91 = 838.38/x
  3. Step 3: Cross multiply
    2,918.39x = 4,376.91 × 838.38
  4. Step 4: Simplify right side
    2,918.39x = 3,669,491.92
  5. Step 5: Solve for x
    x = 3,669,491.92/2,918.39
  6. Step 6: Final answer
    x = 1,257.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.