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Finding the Fourth Proportional to 4,782.67, 7,174.04 and 1,450.94

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Solution

The fourth proportional to 4,782.67, 7,174.04 and 1,450.94 is: 2,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.67 : 7,174.04 = 1,450.94 : x
  2. Step 2: Convert to fraction form
    4,782.67/7,174.04 = 1,450.94/x
  3. Step 3: Cross multiply
    4,782.67x = 7,174.04 × 1,450.94
  4. Step 4: Simplify right side
    4,782.67x = 10,409,058.47
  5. Step 5: Solve for x
    x = 10,409,058.47/4,782.67
  6. Step 6: Final answer
    x = 2,176.41

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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.