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Finding the Fourth Proportional to 2,136.28, 2,947.02 and 1,663.34

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Solution

The fourth proportional to 2,136.28, 2,947.02 and 1,663.34 is: 2,294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.28 : 2,947.02 = 1,663.34 : x
  2. Step 2: Convert to fraction form
    2,136.28/2,947.02 = 1,663.34/x
  3. Step 3: Cross multiply
    2,136.28x = 2,947.02 × 1,663.34
  4. Step 4: Simplify right side
    2,136.28x = 4,901,896.25
  5. Step 5: Solve for x
    x = 4,901,896.25/2,136.28
  6. Step 6: Final answer
    x = 2,294.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.