Finding the Fourth Proportional to 1,800, 2,700 and 432
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Solution
The fourth proportional to 1,800, 2,700 and 432 is: 648
Step by Step Solution
- Step 1: Write the proportion equation
1,800 : 2,700 = 432 : x - Step 2: Convert to fraction form
1,800/2,700 = 432/x - Step 3: Cross multiply
1,800x = 2,700 × 432 - Step 4: Simplify right side
1,800x = 1,166,400 - Step 5: Solve for x
x = 1,166,400/1,800 - Step 6: Final answer
x = 648
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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.