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Finding the Fourth Proportional to 1,694.30, 2,544.03 and 1,610.77

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Solution

The fourth proportional to 1,694.30, 2,544.03 and 1,610.77 is: 2,418.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.30 : 2,544.03 = 1,610.77 : x
  2. Step 2: Convert to fraction form
    1,694.30/2,544.03 = 1,610.77/x
  3. Step 3: Cross multiply
    1,694.30x = 2,544.03 × 1,610.77
  4. Step 4: Simplify right side
    1,694.30x = 4,097,836.82
  5. Step 5: Solve for x
    x = 4,097,836.82/1,694.30
  6. Step 6: Final answer
    x = 2,418.61

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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.