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Finding the Fourth Proportional to 3,310.16, 4,963.98 and 969.66

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Solution

The fourth proportional to 3,310.16, 4,963.98 and 969.66 is: 1,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.16 : 4,963.98 = 969.66 : x
  2. Step 2: Convert to fraction form
    3,310.16/4,963.98 = 969.66/x
  3. Step 3: Cross multiply
    3,310.16x = 4,963.98 × 969.66
  4. Step 4: Simplify right side
    3,310.16x = 4,813,372.85
  5. Step 5: Solve for x
    x = 4,813,372.85/3,310.16
  6. Step 6: Final answer
    x = 1,454.12

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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.