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Finding the Fourth Proportional to 1,821.02, 2,729.81 and 650.21

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Solution

The fourth proportional to 1,821.02, 2,729.81 and 650.21 is: 974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.02 : 2,729.81 = 650.21 : x
  2. Step 2: Convert to fraction form
    1,821.02/2,729.81 = 650.21/x
  3. Step 3: Cross multiply
    1,821.02x = 2,729.81 × 650.21
  4. Step 4: Simplify right side
    1,821.02x = 1,774,932.86
  5. Step 5: Solve for x
    x = 1,774,932.86/1,821.02
  6. Step 6: Final answer
    x = 974.69

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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.