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Finding the Fourth Proportional to 3,310.76, 4,966.96 and 1,002.26

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Solution

The fourth proportional to 3,310.76, 4,966.96 and 1,002.26 is: 1,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.76 : 4,966.96 = 1,002.26 : x
  2. Step 2: Convert to fraction form
    3,310.76/4,966.96 = 1,002.26/x
  3. Step 3: Cross multiply
    3,310.76x = 4,966.96 × 1,002.26
  4. Step 4: Simplify right side
    3,310.76x = 4,978,185.33
  5. Step 5: Solve for x
    x = 4,978,185.33/3,310.76
  6. Step 6: Final answer
    x = 1,503.64

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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.