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Finding the Fourth Proportional to 1,408.04, 1,958.61 and 1,381.31

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Solution

The fourth proportional to 1,408.04, 1,958.61 and 1,381.31 is: 1,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.04 : 1,958.61 = 1,381.31 : x
  2. Step 2: Convert to fraction form
    1,408.04/1,958.61 = 1,381.31/x
  3. Step 3: Cross multiply
    1,408.04x = 1,958.61 × 1,381.31
  4. Step 4: Simplify right side
    1,408.04x = 2,705,447.58
  5. Step 5: Solve for x
    x = 2,705,447.58/1,408.04
  6. Step 6: Final answer
    x = 1,921.43

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.