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Finding the Fourth Proportional to 2,123.82, 3,170.98 and 1,992.60

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Solution

The fourth proportional to 2,123.82, 3,170.98 and 1,992.60 is: 2,975.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.82 : 3,170.98 = 1,992.60 : x
  2. Step 2: Convert to fraction form
    2,123.82/3,170.98 = 1,992.60/x
  3. Step 3: Cross multiply
    2,123.82x = 3,170.98 × 1,992.60
  4. Step 4: Simplify right side
    2,123.82x = 6,318,494.75
  5. Step 5: Solve for x
    x = 6,318,494.75/2,123.82
  6. Step 6: Final answer
    x = 2,975.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.