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Finding the Fourth Proportional to 3,186.65, 4,780.49 and 1,213.11

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Solution

The fourth proportional to 3,186.65, 4,780.49 and 1,213.11 is: 1,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.65 : 4,780.49 = 1,213.11 : x
  2. Step 2: Convert to fraction form
    3,186.65/4,780.49 = 1,213.11/x
  3. Step 3: Cross multiply
    3,186.65x = 4,780.49 × 1,213.11
  4. Step 4: Simplify right side
    3,186.65x = 5,799,254.16
  5. Step 5: Solve for x
    x = 5,799,254.16/3,186.65
  6. Step 6: Final answer
    x = 1,819.86

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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.