Finding the Fourth Proportional to 2,856, 4,284 and 804
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Solution
The fourth proportional to 2,856, 4,284 and 804 is: 1,206
Step by Step Solution
- Step 1: Write the proportion equation
2,856 : 4,284 = 804 : x - Step 2: Convert to fraction form
2,856/4,284 = 804/x - Step 3: Cross multiply
2,856x = 4,284 × 804 - Step 4: Simplify right side
2,856x = 3,444,336 - Step 5: Solve for x
x = 3,444,336/2,856 - Step 6: Final answer
x = 1,206
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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.