Finding the Fourth Proportional to 2,082.50, 2,873.86 and 1,151
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Solution
The fourth proportional to 2,082.50, 2,873.86 and 1,151 is: 1,588.39
Step by Step Solution
- Step 1: Write the proportion equation
2,082.50 : 2,873.86 = 1,151 : x - Step 2: Convert to fraction form
2,082.50/2,873.86 = 1,151/x - Step 3: Cross multiply
2,082.50x = 2,873.86 × 1,151 - Step 4: Simplify right side
2,082.50x = 3,307,812.86 - Step 5: Solve for x
x = 3,307,812.86/2,082.50 - Step 6: Final answer
x = 1,588.39
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.