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Finding the Fourth Proportional to 2,746.94, 3,796.54 and 2,643.26

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Solution

The fourth proportional to 2,746.94, 3,796.54 and 2,643.26 is: 3,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.94 : 3,796.54 = 2,643.26 : x
  2. Step 2: Convert to fraction form
    2,746.94/3,796.54 = 2,643.26/x
  3. Step 3: Cross multiply
    2,746.94x = 3,796.54 × 2,643.26
  4. Step 4: Simplify right side
    2,746.94x = 10,035,216.73
  5. Step 5: Solve for x
    x = 10,035,216.73/2,746.94
  6. Step 6: Final answer
    x = 3,653.24

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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.