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Finding the Fourth Proportional to 2,569.74, 3,855.42 and 837.96

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Solution

The fourth proportional to 2,569.74, 3,855.42 and 837.96 is: 1,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.74 : 3,855.42 = 837.96 : x
  2. Step 2: Convert to fraction form
    2,569.74/3,855.42 = 837.96/x
  3. Step 3: Cross multiply
    2,569.74x = 3,855.42 × 837.96
  4. Step 4: Simplify right side
    2,569.74x = 3,230,687.74
  5. Step 5: Solve for x
    x = 3,230,687.74/2,569.74
  6. Step 6: Final answer
    x = 1,257.20

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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.