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Finding the Fourth Proportional to 3,153.20, 4,729.69 and 813.11

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Solution

The fourth proportional to 3,153.20, 4,729.69 and 813.11 is: 1,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.20 : 4,729.69 = 813.11 : x
  2. Step 2: Convert to fraction form
    3,153.20/4,729.69 = 813.11/x
  3. Step 3: Cross multiply
    3,153.20x = 4,729.69 × 813.11
  4. Step 4: Simplify right side
    3,153.20x = 3,845,758.24
  5. Step 5: Solve for x
    x = 3,845,758.24/3,153.20
  6. Step 6: Final answer
    x = 1,219.64

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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.