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Finding the Fourth Proportional to 2,924.82, 4,035.87 and 1,745.64

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Solution

The fourth proportional to 2,924.82, 4,035.87 and 1,745.64 is: 2,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.82 : 4,035.87 = 1,745.64 : x
  2. Step 2: Convert to fraction form
    2,924.82/4,035.87 = 1,745.64/x
  3. Step 3: Cross multiply
    2,924.82x = 4,035.87 × 1,745.64
  4. Step 4: Simplify right side
    2,924.82x = 7,045,176.11
  5. Step 5: Solve for x
    x = 7,045,176.11/2,924.82
  6. Step 6: Final answer
    x = 2,408.76

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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.