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Finding the Fourth Proportional to 1,829.96, 2,745.24 and 675.62

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Solution

The fourth proportional to 1,829.96, 2,745.24 and 675.62 is: 1,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.96 : 2,745.24 = 675.62 : x
  2. Step 2: Convert to fraction form
    1,829.96/2,745.24 = 675.62/x
  3. Step 3: Cross multiply
    1,829.96x = 2,745.24 × 675.62
  4. Step 4: Simplify right side
    1,829.96x = 1,854,739.05
  5. Step 5: Solve for x
    x = 1,854,739.05/1,829.96
  6. Step 6: Final answer
    x = 1,013.54

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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.