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Finding the Fourth Proportional to 2,126.66, 3,189.71 and 665.82

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Solution

The fourth proportional to 2,126.66, 3,189.71 and 665.82 is: 998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.66 : 3,189.71 = 665.82 : x
  2. Step 2: Convert to fraction form
    2,126.66/3,189.71 = 665.82/x
  3. Step 3: Cross multiply
    2,126.66x = 3,189.71 × 665.82
  4. Step 4: Simplify right side
    2,126.66x = 2,123,774.38
  5. Step 5: Solve for x
    x = 2,123,774.38/2,126.66
  6. Step 6: Final answer
    x = 998.65

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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.