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Finding the Fourth Proportional to 2,758.02, 3,804.80 and 1,920.78

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Solution

The fourth proportional to 2,758.02, 3,804.80 and 1,920.78 is: 2,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.02 : 3,804.80 = 1,920.78 : x
  2. Step 2: Convert to fraction form
    2,758.02/3,804.80 = 1,920.78/x
  3. Step 3: Cross multiply
    2,758.02x = 3,804.80 × 1,920.78
  4. Step 4: Simplify right side
    2,758.02x = 7,308,183.74
  5. Step 5: Solve for x
    x = 7,308,183.74/2,758.02
  6. Step 6: Final answer
    x = 2,649.79

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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.