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Finding the Fourth Proportional to 3,083.42, 4,629.42 and 1,583.49

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Solution

The fourth proportional to 3,083.42, 4,629.42 and 1,583.49 is: 2,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.42 : 4,629.42 = 1,583.49 : x
  2. Step 2: Convert to fraction form
    3,083.42/4,629.42 = 1,583.49/x
  3. Step 3: Cross multiply
    3,083.42x = 4,629.42 × 1,583.49
  4. Step 4: Simplify right side
    3,083.42x = 7,330,640.28
  5. Step 5: Solve for x
    x = 7,330,640.28/3,083.42
  6. Step 6: Final answer
    x = 2,377.44

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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.