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Finding the Fourth Proportional to 2,277.21, 3,414.80 and 889.49

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Solution

The fourth proportional to 2,277.21, 3,414.80 and 889.49 is: 1,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.21 : 3,414.80 = 889.49 : x
  2. Step 2: Convert to fraction form
    2,277.21/3,414.80 = 889.49/x
  3. Step 3: Cross multiply
    2,277.21x = 3,414.80 × 889.49
  4. Step 4: Simplify right side
    2,277.21x = 3,037,439.76
  5. Step 5: Solve for x
    x = 3,037,439.76/2,277.21
  6. Step 6: Final answer
    x = 1,333.84

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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.