Finding the Fourth Proportional to 2,264, 3,396 and 896
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Solution
The fourth proportional to 2,264, 3,396 and 896 is: 1,344
Step by Step Solution
- Step 1: Write the proportion equation
2,264 : 3,396 = 896 : x - Step 2: Convert to fraction form
2,264/3,396 = 896/x - Step 3: Cross multiply
2,264x = 3,396 × 896 - Step 4: Simplify right side
2,264x = 3,042,816 - Step 5: Solve for x
x = 3,042,816/2,264 - Step 6: Final answer
x = 1,344
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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.