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Finding the Fourth Proportional to 2,965.21, 4,447.76 and 885.22

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Solution

The fourth proportional to 2,965.21, 4,447.76 and 885.22 is: 1,327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.21 : 4,447.76 = 885.22 : x
  2. Step 2: Convert to fraction form
    2,965.21/4,447.76 = 885.22/x
  3. Step 3: Cross multiply
    2,965.21x = 4,447.76 × 885.22
  4. Step 4: Simplify right side
    2,965.21x = 3,937,237.20
  5. Step 5: Solve for x
    x = 3,937,237.20/2,965.21
  6. Step 6: Final answer
    x = 1,327.81

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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.