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Finding the Fourth Proportional to 2,178.12, 3,268.62 and 862.68

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Solution

The fourth proportional to 2,178.12, 3,268.62 and 862.68 is: 1,294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.12 : 3,268.62 = 862.68 : x
  2. Step 2: Convert to fraction form
    2,178.12/3,268.62 = 862.68/x
  3. Step 3: Cross multiply
    2,178.12x = 3,268.62 × 862.68
  4. Step 4: Simplify right side
    2,178.12x = 2,819,773.10
  5. Step 5: Solve for x
    x = 2,819,773.10/2,178.12
  6. Step 6: Final answer
    x = 1,294.59

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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.