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Finding the Fourth Proportional to 3,307.91, 4,961.05 and 967.30

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Solution

The fourth proportional to 3,307.91, 4,961.05 and 967.30 is: 1,450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.91 : 4,961.05 = 967.30 : x
  2. Step 2: Convert to fraction form
    3,307.91/4,961.05 = 967.30/x
  3. Step 3: Cross multiply
    3,307.91x = 4,961.05 × 967.30
  4. Step 4: Simplify right side
    3,307.91x = 4,798,808.84
  5. Step 5: Solve for x
    x = 4,798,808.84/3,307.91
  6. Step 6: Final answer
    x = 1,450.71

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1.5x scale

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.