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Finding the Fourth Proportional to 3,012.20, 4,523.16 and 1,865.24

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Solution

The fourth proportional to 3,012.20, 4,523.16 and 1,865.24 is: 2,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.20 : 4,523.16 = 1,865.24 : x
  2. Step 2: Convert to fraction form
    3,012.20/4,523.16 = 1,865.24/x
  3. Step 3: Cross multiply
    3,012.20x = 4,523.16 × 1,865.24
  4. Step 4: Simplify right side
    3,012.20x = 8,436,756.34
  5. Step 5: Solve for x
    x = 8,436,756.34/3,012.20
  6. Step 6: Final answer
    x = 2,800.87

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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.