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Finding the Fourth Proportional to 2,120.73, 3,180.63 and 659.55

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Solution

The fourth proportional to 2,120.73, 3,180.63 and 659.55 is: 989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.73 : 3,180.63 = 659.55 : x
  2. Step 2: Convert to fraction form
    2,120.73/3,180.63 = 659.55/x
  3. Step 3: Cross multiply
    2,120.73x = 3,180.63 × 659.55
  4. Step 4: Simplify right side
    2,120.73x = 2,097,784.52
  5. Step 5: Solve for x
    x = 2,097,784.52/2,120.73
  6. Step 6: Final answer
    x = 989.18

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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.