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Finding the Fourth Proportional to 2,744.49, 4,115.34 and 894.42

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Solution

The fourth proportional to 2,744.49, 4,115.34 and 894.42 is: 1,341.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.49 : 4,115.34 = 894.42 : x
  2. Step 2: Convert to fraction form
    2,744.49/4,115.34 = 894.42/x
  3. Step 3: Cross multiply
    2,744.49x = 4,115.34 × 894.42
  4. Step 4: Simplify right side
    2,744.49x = 3,680,842.40
  5. Step 5: Solve for x
    x = 3,680,842.40/2,744.49
  6. Step 6: Final answer
    x = 1,341.17

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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.