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Finding the Fourth Proportional to 1,745.64, 2,408.08 and 1,185.93

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Solution

The fourth proportional to 1,745.64, 2,408.08 and 1,185.93 is: 1,635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.64 : 2,408.08 = 1,185.93 : x
  2. Step 2: Convert to fraction form
    1,745.64/2,408.08 = 1,185.93/x
  3. Step 3: Cross multiply
    1,745.64x = 2,408.08 × 1,185.93
  4. Step 4: Simplify right side
    1,745.64x = 2,855,814.31
  5. Step 5: Solve for x
    x = 2,855,814.31/1,745.64
  6. Step 6: Final answer
    x = 1,635.97

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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.