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Finding the Fourth Proportional to 1,745.73, 2,408.82 and 999.51

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Solution

The fourth proportional to 1,745.73, 2,408.82 and 999.51 is: 1,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.73 : 2,408.82 = 999.51 : x
  2. Step 2: Convert to fraction form
    1,745.73/2,408.82 = 999.51/x
  3. Step 3: Cross multiply
    1,745.73x = 2,408.82 × 999.51
  4. Step 4: Simplify right side
    1,745.73x = 2,407,639.68
  5. Step 5: Solve for x
    x = 2,407,639.68/1,745.73
  6. Step 6: Final answer
    x = 1,379.16

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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.