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Finding the Fourth Proportional to 2,673.80, 4,011.20 and 1,213.06

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Solution

The fourth proportional to 2,673.80, 4,011.20 and 1,213.06 is: 1,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.80 : 4,011.20 = 1,213.06 : x
  2. Step 2: Convert to fraction form
    2,673.80/4,011.20 = 1,213.06/x
  3. Step 3: Cross multiply
    2,673.80x = 4,011.20 × 1,213.06
  4. Step 4: Simplify right side
    2,673.80x = 4,865,826.27
  5. Step 5: Solve for x
    x = 4,865,826.27/2,673.80
  6. Step 6: Final answer
    x = 1,819.82

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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.