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Finding the Fourth Proportional to 1,977.28, 2,965.20 and 881.44

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Solution

The fourth proportional to 1,977.28, 2,965.20 and 881.44 is: 1,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.28 : 2,965.20 = 881.44 : x
  2. Step 2: Convert to fraction form
    1,977.28/2,965.20 = 881.44/x
  3. Step 3: Cross multiply
    1,977.28x = 2,965.20 × 881.44
  4. Step 4: Simplify right side
    1,977.28x = 2,613,645.89
  5. Step 5: Solve for x
    x = 2,613,645.89/1,977.28
  6. Step 6: Final answer
    x = 1,321.84

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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.