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Finding the Fourth Proportional to 1,694, 2,541.54 and 539.75

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Solution

The fourth proportional to 1,694, 2,541.54 and 539.75 is: 809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694 : 2,541.54 = 539.75 : x
  2. Step 2: Convert to fraction form
    1,694/2,541.54 = 539.75/x
  3. Step 3: Cross multiply
    1,694x = 2,541.54 × 539.75
  4. Step 4: Simplify right side
    1,694x = 1,371,796.22
  5. Step 5: Solve for x
    x = 1,371,796.22/1,694
  6. Step 6: Final answer
    x = 809.80

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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.