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Finding the Fourth Proportional to 2,669.00, 4,003.52 and 820.53

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Solution

The fourth proportional to 2,669.00, 4,003.52 and 820.53 is: 1,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.00 : 4,003.52 = 820.53 : x
  2. Step 2: Convert to fraction form
    2,669.00/4,003.52 = 820.53/x
  3. Step 3: Cross multiply
    2,669.00x = 4,003.52 × 820.53
  4. Step 4: Simplify right side
    2,669.00x = 3,285,004.16
  5. Step 5: Solve for x
    x = 3,285,004.16/2,669.00
  6. Step 6: Final answer
    x = 1,230.80

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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.