Finding the Fourth Proportional to 2,702, 4,053 and 878
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Solution
The fourth proportional to 2,702, 4,053 and 878 is: 1,317
Step by Step Solution
- Step 1: Write the proportion equation
2,702 : 4,053 = 878 : x - Step 2: Convert to fraction form
2,702/4,053 = 878/x - Step 3: Cross multiply
2,702x = 4,053 × 878 - Step 4: Simplify right side
2,702x = 3,558,534 - Step 5: Solve for x
x = 3,558,534/2,702 - Step 6: Final answer
x = 1,317
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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.