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Finding the Fourth Proportional to 1,694.63, 2,542.35 and 540.38

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Solution

The fourth proportional to 1,694.63, 2,542.35 and 540.38 is: 810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.63 : 2,542.35 = 540.38 : x
  2. Step 2: Convert to fraction form
    1,694.63/2,542.35 = 540.38/x
  3. Step 3: Cross multiply
    1,694.63x = 2,542.35 × 540.38
  4. Step 4: Simplify right side
    1,694.63x = 1,373,822.38
  5. Step 5: Solve for x
    x = 1,373,822.38/1,694.63
  6. Step 6: Final answer
    x = 810.69

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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.