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Finding the Fourth Proportional to 2,013.60, 3,012.30 and 1,819.20

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Solution

The fourth proportional to 2,013.60, 3,012.30 and 1,819.20 is: 2,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.60 : 3,012.30 = 1,819.20 : x
  2. Step 2: Convert to fraction form
    2,013.60/3,012.30 = 1,819.20/x
  3. Step 3: Cross multiply
    2,013.60x = 3,012.30 × 1,819.20
  4. Step 4: Simplify right side
    2,013.60x = 5,479,976.16
  5. Step 5: Solve for x
    x = 5,479,976.16/2,013.60
  6. Step 6: Final answer
    x = 2,721.48

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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.