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Finding the Fourth Proportional to 1,968.10, 2,713.72 and 1,469.90

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Solution

The fourth proportional to 1,968.10, 2,713.72 and 1,469.90 is: 2,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.10 : 2,713.72 = 1,469.90 : x
  2. Step 2: Convert to fraction form
    1,968.10/2,713.72 = 1,469.90/x
  3. Step 3: Cross multiply
    1,968.10x = 2,713.72 × 1,469.90
  4. Step 4: Simplify right side
    1,968.10x = 3,988,885.30
  5. Step 5: Solve for x
    x = 3,988,885.30/1,968.10
  6. Step 6: Final answer
    x = 2,026.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.