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Finding the Fourth Proportional to 2,133.54, 3,202.74 and 1,992.60

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Solution

The fourth proportional to 2,133.54, 3,202.74 and 1,992.60 is: 2,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.54 : 3,202.74 = 1,992.60 : x
  2. Step 2: Convert to fraction form
    2,133.54/3,202.74 = 1,992.60/x
  3. Step 3: Cross multiply
    2,133.54x = 3,202.74 × 1,992.60
  4. Step 4: Simplify right side
    2,133.54x = 6,381,779.72
  5. Step 5: Solve for x
    x = 6,381,779.72/2,133.54
  6. Step 6: Final answer
    x = 2,991.17

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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.