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Finding the Fourth Proportional to 3,007.78, 4,150.74 and 1,828.84

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Solution

The fourth proportional to 3,007.78, 4,150.74 and 1,828.84 is: 2,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.78 : 4,150.74 = 1,828.84 : x
  2. Step 2: Convert to fraction form
    3,007.78/4,150.74 = 1,828.84/x
  3. Step 3: Cross multiply
    3,007.78x = 4,150.74 × 1,828.84
  4. Step 4: Simplify right side
    3,007.78x = 7,591,039.34
  5. Step 5: Solve for x
    x = 7,591,039.34/3,007.78
  6. Step 6: Final answer
    x = 2,523.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.