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Finding the Fourth Proportional to 3,011.04, 4,516.74 and 819.72

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Solution

The fourth proportional to 3,011.04, 4,516.74 and 819.72 is: 1,229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.04 : 4,516.74 = 819.72 : x
  2. Step 2: Convert to fraction form
    3,011.04/4,516.74 = 819.72/x
  3. Step 3: Cross multiply
    3,011.04x = 4,516.74 × 819.72
  4. Step 4: Simplify right side
    3,011.04x = 3,702,462.11
  5. Step 5: Solve for x
    x = 3,702,462.11/3,011.04
  6. Step 6: Final answer
    x = 1,229.63

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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.