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Finding the Fourth Proportional to 2,592.74, 3,889.76 and 837.90

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Solution

The fourth proportional to 2,592.74, 3,889.76 and 837.90 is: 1,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.74 : 3,889.76 = 837.90 : x
  2. Step 2: Convert to fraction form
    2,592.74/3,889.76 = 837.90/x
  3. Step 3: Cross multiply
    2,592.74x = 3,889.76 × 837.90
  4. Step 4: Simplify right side
    2,592.74x = 3,259,229.90
  5. Step 5: Solve for x
    x = 3,259,229.90/2,592.74
  6. Step 6: Final answer
    x = 1,257.06

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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.