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Finding the Fourth Proportional to 3,025.99, 4,539.92 and 946.22

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Solution

The fourth proportional to 3,025.99, 4,539.92 and 946.22 is: 1,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.99 : 4,539.92 = 946.22 : x
  2. Step 2: Convert to fraction form
    3,025.99/4,539.92 = 946.22/x
  3. Step 3: Cross multiply
    3,025.99x = 4,539.92 × 946.22
  4. Step 4: Simplify right side
    3,025.99x = 4,295,735.67
  5. Step 5: Solve for x
    x = 4,295,735.67/3,025.99
  6. Step 6: Final answer
    x = 1,419.61

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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.