Home / 1,694.26-2,541.09-461.77

Finding the Fourth Proportional to 1,694.26, 2,541.09 and 461.77

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Solution

The fourth proportional to 1,694.26, 2,541.09 and 461.77 is: 692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.26 : 2,541.09 = 461.77 : x
  2. Step 2: Convert to fraction form
    1,694.26/2,541.09 = 461.77/x
  3. Step 3: Cross multiply
    1,694.26x = 2,541.09 × 461.77
  4. Step 4: Simplify right side
    1,694.26x = 1,173,399.13
  5. Step 5: Solve for x
    x = 1,173,399.13/1,694.26
  6. Step 6: Final answer
    x = 692.57

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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.