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Finding the Fourth Proportional to 2,126.91, 3,190.82 and 646

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Solution

The fourth proportional to 2,126.91, 3,190.82 and 646 is: 969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.91 : 3,190.82 = 646 : x
  2. Step 2: Convert to fraction form
    2,126.91/3,190.82 = 646/x
  3. Step 3: Cross multiply
    2,126.91x = 3,190.82 × 646
  4. Step 4: Simplify right side
    2,126.91x = 2,061,269.72
  5. Step 5: Solve for x
    x = 2,061,269.72/2,126.91
  6. Step 6: Final answer
    x = 969.14

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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.