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Finding the Fourth Proportional to 3,174.56, 4,762.76 and 1,324.72

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Solution

The fourth proportional to 3,174.56, 4,762.76 and 1,324.72 is: 1,987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.56 : 4,762.76 = 1,324.72 : x
  2. Step 2: Convert to fraction form
    3,174.56/4,762.76 = 1,324.72/x
  3. Step 3: Cross multiply
    3,174.56x = 4,762.76 × 1,324.72
  4. Step 4: Simplify right side
    3,174.56x = 6,309,323.43
  5. Step 5: Solve for x
    x = 6,309,323.43/3,174.56
  6. Step 6: Final answer
    x = 1,987.46

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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.