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Finding the Fourth Proportional to 2,327.01, 3,489.30 and 865.37

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Solution

The fourth proportional to 2,327.01, 3,489.30 and 865.37 is: 1,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.01 : 3,489.30 = 865.37 : x
  2. Step 2: Convert to fraction form
    2,327.01/3,489.30 = 865.37/x
  3. Step 3: Cross multiply
    2,327.01x = 3,489.30 × 865.37
  4. Step 4: Simplify right side
    2,327.01x = 3,019,518.09
  5. Step 5: Solve for x
    x = 3,019,518.09/2,327.01
  6. Step 6: Final answer
    x = 1,297.60

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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.