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Finding the Fourth Proportional to 2,136.53, 2,947.37 and 1,663.59

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Solution

The fourth proportional to 2,136.53, 2,947.37 and 1,663.59 is: 2,294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.53 : 2,947.37 = 1,663.59 : x
  2. Step 2: Convert to fraction form
    2,136.53/2,947.37 = 1,663.59/x
  3. Step 3: Cross multiply
    2,136.53x = 2,947.37 × 1,663.59
  4. Step 4: Simplify right side
    2,136.53x = 4,903,206.94
  5. Step 5: Solve for x
    x = 4,903,206.94/2,136.53
  6. Step 6: Final answer
    x = 2,294.94

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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.