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Finding the Fourth Proportional to 1,694.12, 2,540.21 and 598.37

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Solution

The fourth proportional to 1,694.12, 2,540.21 and 598.37 is: 897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.12 : 2,540.21 = 598.37 : x
  2. Step 2: Convert to fraction form
    1,694.12/2,540.21 = 598.37/x
  3. Step 3: Cross multiply
    1,694.12x = 2,540.21 × 598.37
  4. Step 4: Simplify right side
    1,694.12x = 1,519,969.76
  5. Step 5: Solve for x
    x = 1,519,969.76/1,694.12
  6. Step 6: Final answer
    x = 897.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.