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Finding the Fourth Proportional to 3,307.30, 4,961.07 and 1,662.95

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Solution

The fourth proportional to 3,307.30, 4,961.07 and 1,662.95 is: 2,494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.30 : 4,961.07 = 1,662.95 : x
  2. Step 2: Convert to fraction form
    3,307.30/4,961.07 = 1,662.95/x
  3. Step 3: Cross multiply
    3,307.30x = 4,961.07 × 1,662.95
  4. Step 4: Simplify right side
    3,307.30x = 8,250,019.60
  5. Step 5: Solve for x
    x = 8,250,019.60/3,307.30
  6. Step 6: Final answer
    x = 2,494.49

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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.