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Finding the Fourth Proportional to 2,583.43, 3,874.57 and 734.51

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Solution

The fourth proportional to 2,583.43, 3,874.57 and 734.51 is: 1,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.43 : 3,874.57 = 734.51 : x
  2. Step 2: Convert to fraction form
    2,583.43/3,874.57 = 734.51/x
  3. Step 3: Cross multiply
    2,583.43x = 3,874.57 × 734.51
  4. Step 4: Simplify right side
    2,583.43x = 2,845,910.41
  5. Step 5: Solve for x
    x = 2,845,910.41/2,583.43
  6. Step 6: Final answer
    x = 1,101.60

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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.