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Finding the Fourth Proportional to 2,889.38, 4,334.78 and 837.38

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Solution

The fourth proportional to 2,889.38, 4,334.78 and 837.38 is: 1,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.38 : 4,334.78 = 837.38 : x
  2. Step 2: Convert to fraction form
    2,889.38/4,334.78 = 837.38/x
  3. Step 3: Cross multiply
    2,889.38x = 4,334.78 × 837.38
  4. Step 4: Simplify right side
    2,889.38x = 3,629,838.50
  5. Step 5: Solve for x
    x = 3,629,838.50/2,889.38
  6. Step 6: Final answer
    x = 1,256.27

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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.