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Finding the Fourth Proportional to 2,327.19, 3,489.33 and 865.14

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Solution

The fourth proportional to 2,327.19, 3,489.33 and 865.14 is: 1,297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.19 : 3,489.33 = 865.14 : x
  2. Step 2: Convert to fraction form
    2,327.19/3,489.33 = 865.14/x
  3. Step 3: Cross multiply
    2,327.19x = 3,489.33 × 865.14
  4. Step 4: Simplify right side
    2,327.19x = 3,018,758.96
  5. Step 5: Solve for x
    x = 3,018,758.96/2,327.19
  6. Step 6: Final answer
    x = 1,297.17

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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.