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Finding the Fourth Proportional to 3,323, 4,984.86 and 1,271

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Solution

The fourth proportional to 3,323, 4,984.86 and 1,271 is: 1,906.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323 : 4,984.86 = 1,271 : x
  2. Step 2: Convert to fraction form
    3,323/4,984.86 = 1,271/x
  3. Step 3: Cross multiply
    3,323x = 4,984.86 × 1,271
  4. Step 4: Simplify right side
    3,323x = 6,335,757.06
  5. Step 5: Solve for x
    x = 6,335,757.06/3,323
  6. Step 6: Final answer
    x = 1,906.64

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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.