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Finding the Fourth Proportional to 1,643.73, 2,268.86 and 1,146.54

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Solution

The fourth proportional to 1,643.73, 2,268.86 and 1,146.54 is: 1,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.73 : 2,268.86 = 1,146.54 : x
  2. Step 2: Convert to fraction form
    1,643.73/2,268.86 = 1,146.54/x
  3. Step 3: Cross multiply
    1,643.73x = 2,268.86 × 1,146.54
  4. Step 4: Simplify right side
    1,643.73x = 2,601,333.01
  5. Step 5: Solve for x
    x = 2,601,333.01/1,643.73
  6. Step 6: Final answer
    x = 1,582.58

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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.