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Finding the Fourth Proportional to 2,178.11, 3,268.44 and 861.98

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Solution

The fourth proportional to 2,178.11, 3,268.44 and 861.98 is: 1,293.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.11 : 3,268.44 = 861.98 : x
  2. Step 2: Convert to fraction form
    2,178.11/3,268.44 = 861.98/x
  3. Step 3: Cross multiply
    2,178.11x = 3,268.44 × 861.98
  4. Step 4: Simplify right side
    2,178.11x = 2,817,325.60
  5. Step 5: Solve for x
    x = 2,817,325.60/2,178.11
  6. Step 6: Final answer
    x = 1,293.48

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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.