Finding the Fourth Proportional to 1,515, 2,272.50 and 489
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Solution
The fourth proportional to 1,515, 2,272.50 and 489 is: 733.50
Step by Step Solution
- Step 1: Write the proportion equation
1,515 : 2,272.50 = 489 : x - Step 2: Convert to fraction form
1,515/2,272.50 = 489/x - Step 3: Cross multiply
1,515x = 2,272.50 × 489 - Step 4: Simplify right side
1,515x = 1,111,252.50 - Step 5: Solve for x
x = 1,111,252.50/1,515 - 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.