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Finding the Fourth Proportional to 2,120.61, 3,180.93 and 659.73

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Solution

The fourth proportional to 2,120.61, 3,180.93 and 659.73 is: 989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.61 : 3,180.93 = 659.73 : x
  2. Step 2: Convert to fraction form
    2,120.61/3,180.93 = 659.73/x
  3. Step 3: Cross multiply
    2,120.61x = 3,180.93 × 659.73
  4. Step 4: Simplify right side
    2,120.61x = 2,098,554.95
  5. Step 5: Solve for x
    x = 2,098,554.95/2,120.61
  6. Step 6: Final answer
    x = 989.60

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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.