Finding the Fourth Proportional to 2,296, 3,444 and 1,270
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Solution
The fourth proportional to 2,296, 3,444 and 1,270 is: 1,905
Step by Step Solution
- Step 1: Write the proportion equation
2,296 : 3,444 = 1,270 : x - Step 2: Convert to fraction form
2,296/3,444 = 1,270/x - Step 3: Cross multiply
2,296x = 3,444 × 1,270 - Step 4: Simplify right side
2,296x = 4,373,880 - Step 5: Solve for x
x = 4,373,880/2,296 - Step 6: Final answer
x = 1,905
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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.