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Finding the Fourth Proportional to 3,000.20, 4,500.96 and 1,152.18

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Solution

The fourth proportional to 3,000.20, 4,500.96 and 1,152.18 is: 1,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.20 : 4,500.96 = 1,152.18 : x
  2. Step 2: Convert to fraction form
    3,000.20/4,500.96 = 1,152.18/x
  3. Step 3: Cross multiply
    3,000.20x = 4,500.96 × 1,152.18
  4. Step 4: Simplify right side
    3,000.20x = 5,185,916.09
  5. Step 5: Solve for x
    x = 5,185,916.09/3,000.20
  6. Step 6: Final answer
    x = 1,728.53

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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.