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Finding the Fourth Proportional to 4,511.84, 6,768.14 and 1,224.95

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Solution

The fourth proportional to 4,511.84, 6,768.14 and 1,224.95 is: 1,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511.84 : 6,768.14 = 1,224.95 : x
  2. Step 2: Convert to fraction form
    4,511.84/6,768.14 = 1,224.95/x
  3. Step 3: Cross multiply
    4,511.84x = 6,768.14 × 1,224.95
  4. Step 4: Simplify right side
    4,511.84x = 8,290,593.13
  5. Step 5: Solve for x
    x = 8,290,593.13/4,511.84
  6. Step 6: Final answer
    x = 1,837.52

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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.