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Finding the Fourth Proportional to 2,967.67, 4,451.46 and 887.63

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Solution

The fourth proportional to 2,967.67, 4,451.46 and 887.63 is: 1,331.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.67 : 4,451.46 = 887.63 : x
  2. Step 2: Convert to fraction form
    2,967.67/4,451.46 = 887.63/x
  3. Step 3: Cross multiply
    2,967.67x = 4,451.46 × 887.63
  4. Step 4: Simplify right side
    2,967.67x = 3,951,260.57
  5. Step 5: Solve for x
    x = 3,951,260.57/2,967.67
  6. Step 6: Final answer
    x = 1,331.44

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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.