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Finding the Fourth Proportional to 2,751.81, 3,796.86 and 1,857.21

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Solution

The fourth proportional to 2,751.81, 3,796.86 and 1,857.21 is: 2,562.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.81 : 3,796.86 = 1,857.21 : x
  2. Step 2: Convert to fraction form
    2,751.81/3,796.86 = 1,857.21/x
  3. Step 3: Cross multiply
    2,751.81x = 3,796.86 × 1,857.21
  4. Step 4: Simplify right side
    2,751.81x = 7,051,569.82
  5. Step 5: Solve for x
    x = 7,051,569.82/2,751.81
  6. Step 6: Final answer
    x = 2,562.52

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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.