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Finding the Fourth Proportional to 3,220.97, 4,832.14 and 999.75

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Solution

The fourth proportional to 3,220.97, 4,832.14 and 999.75 is: 1,499.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.97 : 4,832.14 = 999.75 : x
  2. Step 2: Convert to fraction form
    3,220.97/4,832.14 = 999.75/x
  3. Step 3: Cross multiply
    3,220.97x = 4,832.14 × 999.75
  4. Step 4: Simplify right side
    3,220.97x = 4,830,942.67
  5. Step 5: Solve for x
    x = 4,830,942.67/3,220.97
  6. Step 6: Final answer
    x = 1,499.84

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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.