Finding the Fourth Proportional to 1,932.16, 2,899.50 and 778
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Solution
The fourth proportional to 1,932.16, 2,899.50 and 778 is: 1,167.51
Step by Step Solution
- Step 1: Write the proportion equation
1,932.16 : 2,899.50 = 778 : x - Step 2: Convert to fraction form
1,932.16/2,899.50 = 778/x - Step 3: Cross multiply
1,932.16x = 2,899.50 × 778 - Step 4: Simplify right side
1,932.16x = 2,255,811 - Step 5: Solve for x
x = 2,255,811/1,932.16 - Step 6: Final answer
x = 1,167.51
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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.