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Finding the Fourth Proportional to 3,285, 4,926.06 and 1,310.04

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Solution

The fourth proportional to 3,285, 4,926.06 and 1,310.04 is: 1,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285 : 4,926.06 = 1,310.04 : x
  2. Step 2: Convert to fraction form
    3,285/4,926.06 = 1,310.04/x
  3. Step 3: Cross multiply
    3,285x = 4,926.06 × 1,310.04
  4. Step 4: Simplify right side
    3,285x = 6,453,335.64
  5. Step 5: Solve for x
    x = 6,453,335.64/3,285
  6. Step 6: Final answer
    x = 1,964.49

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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.