Finding the Fourth Proportional to 1,514, 2,271 and 488
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Solution
The fourth proportional to 1,514, 2,271 and 488 is: 732
Step by Step Solution
- Step 1: Write the proportion equation
1,514 : 2,271 = 488 : x - Step 2: Convert to fraction form
1,514/2,271 = 488/x - Step 3: Cross multiply
1,514x = 2,271 × 488 - Step 4: Simplify right side
1,514x = 1,108,248 - Step 5: Solve for x
x = 1,108,248/1,514 - Step 6: Final answer
x = 732
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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.