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Finding the Fourth Proportional to 3,180.94, 4,762.14 and 2,362.84

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Solution

The fourth proportional to 3,180.94, 4,762.14 and 2,362.84 is: 3,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.94 : 4,762.14 = 2,362.84 : x
  2. Step 2: Convert to fraction form
    3,180.94/4,762.14 = 2,362.84/x
  3. Step 3: Cross multiply
    3,180.94x = 4,762.14 × 2,362.84
  4. Step 4: Simplify right side
    3,180.94x = 11,252,174.88
  5. Step 5: Solve for x
    x = 11,252,174.88/3,180.94
  6. Step 6: Final answer
    x = 3,537.37

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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.