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Finding the Fourth Proportional to 2,126.12, 3,189.06 and 665.15

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Solution

The fourth proportional to 2,126.12, 3,189.06 and 665.15 is: 997.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.12 : 3,189.06 = 665.15 : x
  2. Step 2: Convert to fraction form
    2,126.12/3,189.06 = 665.15/x
  3. Step 3: Cross multiply
    2,126.12x = 3,189.06 × 665.15
  4. Step 4: Simplify right side
    2,126.12x = 2,121,187.31
  5. Step 5: Solve for x
    x = 2,121,187.31/2,126.12
  6. Step 6: Final answer
    x = 997.68

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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.