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Finding the Fourth Proportional to 2,016.21, 2,999.92 and 1,965.99

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Solution

The fourth proportional to 2,016.21, 2,999.92 and 1,965.99 is: 2,925.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.21 : 2,999.92 = 1,965.99 : x
  2. Step 2: Convert to fraction form
    2,016.21/2,999.92 = 1,965.99/x
  3. Step 3: Cross multiply
    2,016.21x = 2,999.92 × 1,965.99
  4. Step 4: Simplify right side
    2,016.21x = 5,897,812.72
  5. Step 5: Solve for x
    x = 5,897,812.72/2,016.21
  6. Step 6: Final answer
    x = 2,925.20

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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.