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Finding the Fourth Proportional to 3,310.62, 4,966.10 and 1,461.76

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Solution

The fourth proportional to 3,310.62, 4,966.10 and 1,461.76 is: 2,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.62 : 4,966.10 = 1,461.76 : x
  2. Step 2: Convert to fraction form
    3,310.62/4,966.10 = 1,461.76/x
  3. Step 3: Cross multiply
    3,310.62x = 4,966.10 × 1,461.76
  4. Step 4: Simplify right side
    3,310.62x = 7,259,232.09
  5. Step 5: Solve for x
    x = 7,259,232.09/3,310.62
  6. Step 6: Final answer
    x = 2,192.71

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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.