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Finding the Fourth Proportional to 1,923.82, 2,653.77 and 1,794.22

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Solution

The fourth proportional to 1,923.82, 2,653.77 and 1,794.22 is: 2,475.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.82 : 2,653.77 = 1,794.22 : x
  2. Step 2: Convert to fraction form
    1,923.82/2,653.77 = 1,794.22/x
  3. Step 3: Cross multiply
    1,923.82x = 2,653.77 × 1,794.22
  4. Step 4: Simplify right side
    1,923.82x = 4,761,447.21
  5. Step 5: Solve for x
    x = 4,761,447.21/1,923.82
  6. Step 6: Final answer
    x = 2,475.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.