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Finding the Fourth Proportional to 2,107.40, 3,157.90 and 1,992.20

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Solution

The fourth proportional to 2,107.40, 3,157.90 and 1,992.20 is: 2,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.40 : 3,157.90 = 1,992.20 : x
  2. Step 2: Convert to fraction form
    2,107.40/3,157.90 = 1,992.20/x
  3. Step 3: Cross multiply
    2,107.40x = 3,157.90 × 1,992.20
  4. Step 4: Simplify right side
    2,107.40x = 6,291,168.38
  5. Step 5: Solve for x
    x = 6,291,168.38/2,107.40
  6. Step 6: Final answer
    x = 2,985.27

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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.