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Finding the Fourth Proportional to 2,126.39, 3,190.19 and 665.96

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Solution

The fourth proportional to 2,126.39, 3,190.19 and 665.96 is: 999.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.39 : 3,190.19 = 665.96 : x
  2. Step 2: Convert to fraction form
    2,126.39/3,190.19 = 665.96/x
  3. Step 3: Cross multiply
    2,126.39x = 3,190.19 × 665.96
  4. Step 4: Simplify right side
    2,126.39x = 2,124,519.65
  5. Step 5: Solve for x
    x = 2,124,519.65/2,126.39
  6. Step 6: Final answer
    x = 999.12

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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.