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Finding the Fourth Proportional to 3,307.83, 4,960.96 and 967.34

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Solution

The fourth proportional to 3,307.83, 4,960.96 and 967.34 is: 1,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.83 : 4,960.96 = 967.34 : x
  2. Step 2: Convert to fraction form
    3,307.83/4,960.96 = 967.34/x
  3. Step 3: Cross multiply
    3,307.83x = 4,960.96 × 967.34
  4. Step 4: Simplify right side
    3,307.83x = 4,798,930.05
  5. Step 5: Solve for x
    x = 4,798,930.05/3,307.83
  6. Step 6: Final answer
    x = 1,450.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.