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Finding the Fourth Proportional to 1,408.20, 2,109.98 and 858.73

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Solution

The fourth proportional to 1,408.20, 2,109.98 and 858.73 is: 1,286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.20 : 2,109.98 = 858.73 : x
  2. Step 2: Convert to fraction form
    1,408.20/2,109.98 = 858.73/x
  3. Step 3: Cross multiply
    1,408.20x = 2,109.98 × 858.73
  4. Step 4: Simplify right side
    1,408.20x = 1,811,903.13
  5. Step 5: Solve for x
    x = 1,811,903.13/1,408.20
  6. Step 6: Final answer
    x = 1,286.68

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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.