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Finding the Fourth Proportional to 3,014.35, 4,157.96 and 1,992.30

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Solution

The fourth proportional to 3,014.35, 4,157.96 and 1,992.30 is: 2,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.35 : 4,157.96 = 1,992.30 : x
  2. Step 2: Convert to fraction form
    3,014.35/4,157.96 = 1,992.30/x
  3. Step 3: Cross multiply
    3,014.35x = 4,157.96 × 1,992.30
  4. Step 4: Simplify right side
    3,014.35x = 8,283,903.49
  5. Step 5: Solve for x
    x = 8,283,903.49/3,014.35
  6. Step 6: Final answer
    x = 2,748.16

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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.