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Finding the Fourth Proportional to 2,137.41, 3,206.50 and 731.75

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Solution

The fourth proportional to 2,137.41, 3,206.50 and 731.75 is: 1,097.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.41 : 3,206.50 = 731.75 : x
  2. Step 2: Convert to fraction form
    2,137.41/3,206.50 = 731.75/x
  3. Step 3: Cross multiply
    2,137.41x = 3,206.50 × 731.75
  4. Step 4: Simplify right side
    2,137.41x = 2,346,356.38
  5. Step 5: Solve for x
    x = 2,346,356.38/2,137.41
  6. Step 6: Final answer
    x = 1,097.76

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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.