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Finding the Fourth Proportional to 1,745.04, 2,408.16 and 998.94

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Solution

The fourth proportional to 1,745.04, 2,408.16 and 998.94 is: 1,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.04 : 2,408.16 = 998.94 : x
  2. Step 2: Convert to fraction form
    1,745.04/2,408.16 = 998.94/x
  3. Step 3: Cross multiply
    1,745.04x = 2,408.16 × 998.94
  4. Step 4: Simplify right side
    1,745.04x = 2,405,607.35
  5. Step 5: Solve for x
    x = 2,405,607.35/1,745.04
  6. Step 6: Final answer
    x = 1,378.54

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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.