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Finding the Fourth Proportional to 2,744.09, 4,116.49 and 894.55

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Solution

The fourth proportional to 2,744.09, 4,116.49 and 894.55 is: 1,341.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.09 : 4,116.49 = 894.55 : x
  2. Step 2: Convert to fraction form
    2,744.09/4,116.49 = 894.55/x
  3. Step 3: Cross multiply
    2,744.09x = 4,116.49 × 894.55
  4. Step 4: Simplify right side
    2,744.09x = 3,682,401.66
  5. Step 5: Solve for x
    x = 3,682,401.66/2,744.09
  6. Step 6: Final answer
    x = 1,341.94

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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.