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Finding the Fourth Proportional to 3,182.68, 4,771.68 and 1,234

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Solution

The fourth proportional to 3,182.68, 4,771.68 and 1,234 is: 1,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.68 : 4,771.68 = 1,234 : x
  2. Step 2: Convert to fraction form
    3,182.68/4,771.68 = 1,234/x
  3. Step 3: Cross multiply
    3,182.68x = 4,771.68 × 1,234
  4. Step 4: Simplify right side
    3,182.68x = 5,888,253.12
  5. Step 5: Solve for x
    x = 5,888,253.12/3,182.68
  6. Step 6: Final answer
    x = 1,850.09

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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.