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Finding the Fourth Proportional to 2,967.23, 4,450.84 and 887.24

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Solution

The fourth proportional to 2,967.23, 4,450.84 and 887.24 is: 1,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.23 : 4,450.84 = 887.24 : x
  2. Step 2: Convert to fraction form
    2,967.23/4,450.84 = 887.24/x
  3. Step 3: Cross multiply
    2,967.23x = 4,450.84 × 887.24
  4. Step 4: Simplify right side
    2,967.23x = 3,948,949.65
  5. Step 5: Solve for x
    x = 3,948,949.65/2,967.23
  6. Step 6: Final answer
    x = 1,330.85

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Similar ratio
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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.