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Finding the Fourth Proportional to 3,205.26, 4,807.89 and 1,745.10

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Solution

The fourth proportional to 3,205.26, 4,807.89 and 1,745.10 is: 2,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.26 : 4,807.89 = 1,745.10 : x
  2. Step 2: Convert to fraction form
    3,205.26/4,807.89 = 1,745.10/x
  3. Step 3: Cross multiply
    3,205.26x = 4,807.89 × 1,745.10
  4. Step 4: Simplify right side
    3,205.26x = 8,390,248.84
  5. Step 5: Solve for x
    x = 8,390,248.84/3,205.26
  6. Step 6: Final answer
    x = 2,617.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.