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Finding the Fourth Proportional to 1,493.19, 2,240.19 and 844.38

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Solution

The fourth proportional to 1,493.19, 2,240.19 and 844.38 is: 1,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.19 : 2,240.19 = 844.38 : x
  2. Step 2: Convert to fraction form
    1,493.19/2,240.19 = 844.38/x
  3. Step 3: Cross multiply
    1,493.19x = 2,240.19 × 844.38
  4. Step 4: Simplify right side
    1,493.19x = 1,891,571.63
  5. Step 5: Solve for x
    x = 1,891,571.63/1,493.19
  6. Step 6: Final answer
    x = 1,266.80

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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.