Finding the Fourth Proportional to 1,780, 2,670 and 754
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Solution
The fourth proportional to 1,780, 2,670 and 754 is: 1,131
Step by Step Solution
- Step 1: Write the proportion equation
1,780 : 2,670 = 754 : x - Step 2: Convert to fraction form
1,780/2,670 = 754/x - Step 3: Cross multiply
1,780x = 2,670 × 754 - Step 4: Simplify right side
1,780x = 2,013,180 - Step 5: Solve for x
x = 2,013,180/1,780 - Step 6: Final answer
x = 1,131
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.