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Finding the Fourth Proportional to 2,193.24, 3,290.94 and 894

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Solution

The fourth proportional to 2,193.24, 3,290.94 and 894 is: 1,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.24 : 3,290.94 = 894 : x
  2. Step 2: Convert to fraction form
    2,193.24/3,290.94 = 894/x
  3. Step 3: Cross multiply
    2,193.24x = 3,290.94 × 894
  4. Step 4: Simplify right side
    2,193.24x = 2,942,100.36
  5. Step 5: Solve for x
    x = 2,942,100.36/2,193.24
  6. Step 6: Final answer
    x = 1,341.44

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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.