Finding the Fourth Proportional to 2,028, 3,042 and 489
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Solution
The fourth proportional to 2,028, 3,042 and 489 is: 733.50
Step by Step Solution
- Step 1: Write the proportion equation
2,028 : 3,042 = 489 : x - Step 2: Convert to fraction form
2,028/3,042 = 489/x - Step 3: Cross multiply
2,028x = 3,042 × 489 - Step 4: Simplify right side
2,028x = 1,487,538 - Step 5: Solve for x
x = 1,487,538/2,028 - Step 6: Final answer
x = 733.50
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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.