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Finding the Fourth Proportional to 3,183.84, 4,770.72 and 2,455.20

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Solution

The fourth proportional to 3,183.84, 4,770.72 and 2,455.20 is: 3,678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.84 : 4,770.72 = 2,455.20 : x
  2. Step 2: Convert to fraction form
    3,183.84/4,770.72 = 2,455.20/x
  3. Step 3: Cross multiply
    3,183.84x = 4,770.72 × 2,455.20
  4. Step 4: Simplify right side
    3,183.84x = 11,713,071.74
  5. Step 5: Solve for x
    x = 11,713,071.74/3,183.84
  6. Step 6: Final answer
    x = 3,678.91

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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.