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Finding the Fourth Proportional to 3,203.76, 4,421.22 and 1,961.76

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Solution

The fourth proportional to 3,203.76, 4,421.22 and 1,961.76 is: 2,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.76 : 4,421.22 = 1,961.76 : x
  2. Step 2: Convert to fraction form
    3,203.76/4,421.22 = 1,961.76/x
  3. Step 3: Cross multiply
    3,203.76x = 4,421.22 × 1,961.76
  4. Step 4: Simplify right side
    3,203.76x = 8,673,372.55
  5. Step 5: Solve for x
    x = 8,673,372.55/3,203.76
  6. Step 6: Final answer
    x = 2,707.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.