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Finding the Fourth Proportional to 3,180.54, 4,768.77 and 1,533.81

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Solution

The fourth proportional to 3,180.54, 4,768.77 and 1,533.81 is: 2,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.54 : 4,768.77 = 1,533.81 : x
  2. Step 2: Convert to fraction form
    3,180.54/4,768.77 = 1,533.81/x
  3. Step 3: Cross multiply
    3,180.54x = 4,768.77 × 1,533.81
  4. Step 4: Simplify right side
    3,180.54x = 7,314,387.11
  5. Step 5: Solve for x
    x = 7,314,387.11/3,180.54
  6. Step 6: Final answer
    x = 2,299.73

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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.