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Finding the Fourth Proportional to 2,768.62, 4,153.20 and 1,208.16

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Solution

The fourth proportional to 2,768.62, 4,153.20 and 1,208.16 is: 1,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.62 : 4,153.20 = 1,208.16 : x
  2. Step 2: Convert to fraction form
    2,768.62/4,153.20 = 1,208.16/x
  3. Step 3: Cross multiply
    2,768.62x = 4,153.20 × 1,208.16
  4. Step 4: Simplify right side
    2,768.62x = 5,017,730.11
  5. Step 5: Solve for x
    x = 5,017,730.11/2,768.62
  6. Step 6: Final answer
    x = 1,812.36

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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.