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Finding the Fourth Proportional to 3,310.40, 4,963.71 and 1,361

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Solution

The fourth proportional to 3,310.40, 4,963.71 and 1,361 is: 2,040.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.40 : 4,963.71 = 1,361 : x
  2. Step 2: Convert to fraction form
    3,310.40/4,963.71 = 1,361/x
  3. Step 3: Cross multiply
    3,310.40x = 4,963.71 × 1,361
  4. Step 4: Simplify right side
    3,310.40x = 6,755,609.31
  5. Step 5: Solve for x
    x = 6,755,609.31/3,310.40
  6. Step 6: Final answer
    x = 2,040.72

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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.