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Finding the Fourth Proportional to 3,083.63, 4,255.42 and 1,757.39

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Solution

The fourth proportional to 3,083.63, 4,255.42 and 1,757.39 is: 2,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.63 : 4,255.42 = 1,757.39 : x
  2. Step 2: Convert to fraction form
    3,083.63/4,255.42 = 1,757.39/x
  3. Step 3: Cross multiply
    3,083.63x = 4,255.42 × 1,757.39
  4. Step 4: Simplify right side
    3,083.63x = 7,478,432.55
  5. Step 5: Solve for x
    x = 7,478,432.55/3,083.63
  6. Step 6: Final answer
    x = 2,425.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.