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Finding the Fourth Proportional to 2,967.26, 4,452.28 and 1,323.64

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Solution

The fourth proportional to 2,967.26, 4,452.28 and 1,323.64 is: 1,986.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.26 : 4,452.28 = 1,323.64 : x
  2. Step 2: Convert to fraction form
    2,967.26/4,452.28 = 1,323.64/x
  3. Step 3: Cross multiply
    2,967.26x = 4,452.28 × 1,323.64
  4. Step 4: Simplify right side
    2,967.26x = 5,893,201.46
  5. Step 5: Solve for x
    x = 5,893,201.46/2,967.26
  6. Step 6: Final answer
    x = 1,986.07

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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.