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Finding the Fourth Proportional to 2,967.88, 4,452.34 and 1,324.40

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Solution

The fourth proportional to 2,967.88, 4,452.34 and 1,324.40 is: 1,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.88 : 4,452.34 = 1,324.40 : x
  2. Step 2: Convert to fraction form
    2,967.88/4,452.34 = 1,324.40/x
  3. Step 3: Cross multiply
    2,967.88x = 4,452.34 × 1,324.40
  4. Step 4: Simplify right side
    2,967.88x = 5,896,679.10
  5. Step 5: Solve for x
    x = 5,896,679.10/2,967.88
  6. Step 6: Final answer
    x = 1,986.83

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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.