Finding the Fourth Proportional to 1,800, 2,700 and 584
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Solution
The fourth proportional to 1,800, 2,700 and 584 is: 876
Step by Step Solution
- Step 1: Write the proportion equation
1,800 : 2,700 = 584 : x - Step 2: Convert to fraction form
1,800/2,700 = 584/x - Step 3: Cross multiply
1,800x = 2,700 × 584 - Step 4: Simplify right side
1,800x = 1,576,800 - Step 5: Solve for x
x = 1,576,800/1,800 - Step 6: Final answer
x = 876
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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.