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Finding the Fourth Proportional to 2,126.93, 3,190.19 and 666.09

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Solution

The fourth proportional to 2,126.93, 3,190.19 and 666.09 is: 999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.93 : 3,190.19 = 666.09 : x
  2. Step 2: Convert to fraction form
    2,126.93/3,190.19 = 666.09/x
  3. Step 3: Cross multiply
    2,126.93x = 3,190.19 × 666.09
  4. Step 4: Simplify right side
    2,126.93x = 2,124,950.33
  5. Step 5: Solve for x
    x = 2,124,950.33/2,126.93
  6. Step 6: Final answer
    x = 999.07

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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.