Finding the Fourth Proportional to 1,569, 2,354.58 and 543
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Solution
The fourth proportional to 1,569, 2,354.58 and 543 is: 814.87
Step by Step Solution
- Step 1: Write the proportion equation
1,569 : 2,354.58 = 543 : x - Step 2: Convert to fraction form
1,569/2,354.58 = 543/x - Step 3: Cross multiply
1,569x = 2,354.58 × 543 - Step 4: Simplify right side
1,569x = 1,278,536.94 - Step 5: Solve for x
x = 1,278,536.94/1,569 - Step 6: Final answer
x = 814.87
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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.