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Finding the Fourth Proportional to 2,519.54, 3,764.86 and 1,923.26

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Solution

The fourth proportional to 2,519.54, 3,764.86 and 1,923.26 is: 2,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.54 : 3,764.86 = 1,923.26 : x
  2. Step 2: Convert to fraction form
    2,519.54/3,764.86 = 1,923.26/x
  3. Step 3: Cross multiply
    2,519.54x = 3,764.86 × 1,923.26
  4. Step 4: Simplify right side
    2,519.54x = 7,240,804.64
  5. Step 5: Solve for x
    x = 7,240,804.64/2,519.54
  6. Step 6: Final answer
    x = 2,873.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.