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Finding the Fourth Proportional to 1,745.12, 2,408.39 and 999.31

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Solution

The fourth proportional to 1,745.12, 2,408.39 and 999.31 is: 1,379.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.12 : 2,408.39 = 999.31 : x
  2. Step 2: Convert to fraction form
    1,745.12/2,408.39 = 999.31/x
  3. Step 3: Cross multiply
    1,745.12x = 2,408.39 × 999.31
  4. Step 4: Simplify right side
    1,745.12x = 2,406,729.57
  5. Step 5: Solve for x
    x = 2,406,729.57/1,745.12
  6. Step 6: Final answer
    x = 1,379.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.