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Finding the Fourth Proportional to 3,310.88, 4,966.32 and 845.61

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Solution

The fourth proportional to 3,310.88, 4,966.32 and 845.61 is: 1,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.88 : 4,966.32 = 845.61 : x
  2. Step 2: Convert to fraction form
    3,310.88/4,966.32 = 845.61/x
  3. Step 3: Cross multiply
    3,310.88x = 4,966.32 × 845.61
  4. Step 4: Simplify right side
    3,310.88x = 4,199,569.86
  5. Step 5: Solve for x
    x = 4,199,569.86/3,310.88
  6. Step 6: Final answer
    x = 1,268.42

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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.