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Finding the Fourth Proportional to 3,310.29, 4,966.31 and 1,461.82

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Solution

The fourth proportional to 3,310.29, 4,966.31 and 1,461.82 is: 2,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.29 : 4,966.31 = 1,461.82 : x
  2. Step 2: Convert to fraction form
    3,310.29/4,966.31 = 1,461.82/x
  3. Step 3: Cross multiply
    3,310.29x = 4,966.31 × 1,461.82
  4. Step 4: Simplify right side
    3,310.29x = 7,259,851.28
  5. Step 5: Solve for x
    x = 7,259,851.28/3,310.29
  6. Step 6: Final answer
    x = 2,193.12

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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.