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Finding the Fourth Proportional to 2,967.28, 4,450.96 and 2,786.88

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Solution

The fourth proportional to 2,967.28, 4,450.96 and 2,786.88 is: 4,180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.28 : 4,450.96 = 2,786.88 : x
  2. Step 2: Convert to fraction form
    2,967.28/4,450.96 = 2,786.88/x
  3. Step 3: Cross multiply
    2,967.28x = 4,450.96 × 2,786.88
  4. Step 4: Simplify right side
    2,967.28x = 12,404,291.40
  5. Step 5: Solve for x
    x = 12,404,291.40/2,967.28
  6. Step 6: Final answer
    x = 4,180.36

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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.