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Finding the Fourth Proportional to 2,511.63, 3,768.13 and 1,213.10

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Solution

The fourth proportional to 2,511.63, 3,768.13 and 1,213.10 is: 1,819.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.63 : 3,768.13 = 1,213.10 : x
  2. Step 2: Convert to fraction form
    2,511.63/3,768.13 = 1,213.10/x
  3. Step 3: Cross multiply
    2,511.63x = 3,768.13 × 1,213.10
  4. Step 4: Simplify right side
    2,511.63x = 4,571,127.61
  5. Step 5: Solve for x
    x = 4,571,127.61/2,511.63
  6. Step 6: Final answer
    x = 1,819.98

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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.