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Finding the Fourth Proportional to 2,669.73, 4,005.18 and 821.00

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Solution

The fourth proportional to 2,669.73, 4,005.18 and 821.00 is: 1,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.73 : 4,005.18 = 821.00 : x
  2. Step 2: Convert to fraction form
    2,669.73/4,005.18 = 821.00/x
  3. Step 3: Cross multiply
    2,669.73x = 4,005.18 × 821.00
  4. Step 4: Simplify right side
    2,669.73x = 3,288,232.75
  5. Step 5: Solve for x
    x = 3,288,232.75/2,669.73
  6. Step 6: Final answer
    x = 1,231.67

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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.