Finding the Fourth Proportional to 2,970.36, 4,098 and 1,791
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Solution
The fourth proportional to 2,970.36, 4,098 and 1,791 is: 2,470.92
Step by Step Solution
- Step 1: Write the proportion equation
2,970.36 : 4,098 = 1,791 : x - Step 2: Convert to fraction form
2,970.36/4,098 = 1,791/x - Step 3: Cross multiply
2,970.36x = 4,098 × 1,791 - Step 4: Simplify right side
2,970.36x = 7,339,518 - Step 5: Solve for x
x = 7,339,518/2,970.36 - Step 6: Final answer
x = 2,470.92
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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.