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Finding the Fourth Proportional to 3,310.68, 4,966.04 and 845.52

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Solution

The fourth proportional to 3,310.68, 4,966.04 and 845.52 is: 1,268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.68 : 4,966.04 = 845.52 : x
  2. Step 2: Convert to fraction form
    3,310.68/4,966.04 = 845.52/x
  3. Step 3: Cross multiply
    3,310.68x = 4,966.04 × 845.52
  4. Step 4: Simplify right side
    3,310.68x = 4,198,886.14
  5. Step 5: Solve for x
    x = 4,198,886.14/3,310.68
  6. Step 6: Final answer
    x = 1,268.29

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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.