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Finding the Fourth Proportional to 2,336.82, 3,506.44 and 951.18

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Solution

The fourth proportional to 2,336.82, 3,506.44 and 951.18 is: 1,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,336.82 : 3,506.44 = 951.18 : x
  2. Step 2: Convert to fraction form
    2,336.82/3,506.44 = 951.18/x
  3. Step 3: Cross multiply
    2,336.82x = 3,506.44 × 951.18
  4. Step 4: Simplify right side
    2,336.82x = 3,335,255.60
  5. Step 5: Solve for x
    x = 3,335,255.60/2,336.82
  6. Step 6: Final answer
    x = 1,427.26

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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.