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Finding the Fourth Proportional to 2,749.44, 3,792.90 and 1,804.86

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Solution

The fourth proportional to 2,749.44, 3,792.90 and 1,804.86 is: 2,489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.44 : 3,792.90 = 1,804.86 : x
  2. Step 2: Convert to fraction form
    2,749.44/3,792.90 = 1,804.86/x
  3. Step 3: Cross multiply
    2,749.44x = 3,792.90 × 1,804.86
  4. Step 4: Simplify right side
    2,749.44x = 6,845,653.49
  5. Step 5: Solve for x
    x = 6,845,653.49/2,749.44
  6. Step 6: Final answer
    x = 2,489.84

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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.