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Finding the Fourth Proportional to 2,143.27, 3,216.12 and 1,323.55

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Solution

The fourth proportional to 2,143.27, 3,216.12 and 1,323.55 is: 1,986.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.27 : 3,216.12 = 1,323.55 : x
  2. Step 2: Convert to fraction form
    2,143.27/3,216.12 = 1,323.55/x
  3. Step 3: Cross multiply
    2,143.27x = 3,216.12 × 1,323.55
  4. Step 4: Simplify right side
    2,143.27x = 4,256,695.63
  5. Step 5: Solve for x
    x = 4,256,695.63/2,143.27
  6. Step 6: Final answer
    x = 1,986.08

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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.