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Finding the Fourth Proportional to 3,137, 4,329.08 and 1,739.84

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Solution

The fourth proportional to 3,137, 4,329.08 and 1,739.84 is: 2,400.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137 : 4,329.08 = 1,739.84 : x
  2. Step 2: Convert to fraction form
    3,137/4,329.08 = 1,739.84/x
  3. Step 3: Cross multiply
    3,137x = 4,329.08 × 1,739.84
  4. Step 4: Simplify right side
    3,137x = 7,531,906.55
  5. Step 5: Solve for x
    x = 7,531,906.55/3,137
  6. Step 6: Final answer
    x = 2,400.99

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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.