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Finding the Fourth Proportional to 2,116.71, 3,168.07 and 1,965.44

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Solution

The fourth proportional to 2,116.71, 3,168.07 and 1,965.44 is: 2,941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.71 : 3,168.07 = 1,965.44 : x
  2. Step 2: Convert to fraction form
    2,116.71/3,168.07 = 1,965.44/x
  3. Step 3: Cross multiply
    2,116.71x = 3,168.07 × 1,965.44
  4. Step 4: Simplify right side
    2,116.71x = 6,226,654.51
  5. Step 5: Solve for x
    x = 6,226,654.51/2,116.71
  6. Step 6: Final answer
    x = 2,941.67

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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.