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Finding the Fourth Proportional to 2,178.73, 3,268.23 and 718.03

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Solution

The fourth proportional to 2,178.73, 3,268.23 and 718.03 is: 1,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.73 : 3,268.23 = 718.03 : x
  2. Step 2: Convert to fraction form
    2,178.73/3,268.23 = 718.03/x
  3. Step 3: Cross multiply
    2,178.73x = 3,268.23 × 718.03
  4. Step 4: Simplify right side
    2,178.73x = 2,346,687.19
  5. Step 5: Solve for x
    x = 2,346,687.19/2,178.73
  6. Step 6: Final answer
    x = 1,077.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.