Finding the Fourth Proportional to 1,814, 2,721 and 446
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Solution
The fourth proportional to 1,814, 2,721 and 446 is: 669
Step by Step Solution
- Step 1: Write the proportion equation
1,814 : 2,721 = 446 : x - Step 2: Convert to fraction form
1,814/2,721 = 446/x - Step 3: Cross multiply
1,814x = 2,721 × 446 - Step 4: Simplify right side
1,814x = 1,213,566 - Step 5: Solve for x
x = 1,213,566/1,814 - Step 6: Final answer
x = 669
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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.