Finding the Fourth Proportional to 1,420, 2,130 and 394
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Solution
The fourth proportional to 1,420, 2,130 and 394 is: 591
Step by Step Solution
- Step 1: Write the proportion equation
1,420 : 2,130 = 394 : x - Step 2: Convert to fraction form
1,420/2,130 = 394/x - Step 3: Cross multiply
1,420x = 2,130 × 394 - Step 4: Simplify right side
1,420x = 839,220 - Step 5: Solve for x
x = 839,220/1,420 - Step 6: Final answer
x = 591
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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.