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Finding the Fourth Proportional to 2,277.72, 3,415.08 and 891.21

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Solution

The fourth proportional to 2,277.72, 3,415.08 and 891.21 is: 1,336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.72 : 3,415.08 = 891.21 : x
  2. Step 2: Convert to fraction form
    2,277.72/3,415.08 = 891.21/x
  3. Step 3: Cross multiply
    2,277.72x = 3,415.08 × 891.21
  4. Step 4: Simplify right side
    2,277.72x = 3,043,553.45
  5. Step 5: Solve for x
    x = 3,043,553.45/2,277.72
  6. Step 6: Final answer
    x = 1,336.23

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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.