Finding the Fourth Proportional to 2,111.50, 2,913.96 and 1,180
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Solution
The fourth proportional to 2,111.50, 2,913.96 and 1,180 is: 1,628.45
Step by Step Solution
- Step 1: Write the proportion equation
2,111.50 : 2,913.96 = 1,180 : x - Step 2: Convert to fraction form
2,111.50/2,913.96 = 1,180/x - Step 3: Cross multiply
2,111.50x = 2,913.96 × 1,180 - Step 4: Simplify right side
2,111.50x = 3,438,472.80 - Step 5: Solve for x
x = 3,438,472.80/2,111.50 - Step 6: Final answer
x = 1,628.45
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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.