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Finding the Fourth Proportional to 2,136.69, 2,944.56 and 1,472.34

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Solution

The fourth proportional to 2,136.69, 2,944.56 and 1,472.34 is: 2,029.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.69 : 2,944.56 = 1,472.34 : x
  2. Step 2: Convert to fraction form
    2,136.69/2,944.56 = 1,472.34/x
  3. Step 3: Cross multiply
    2,136.69x = 2,944.56 × 1,472.34
  4. Step 4: Simplify right side
    2,136.69x = 4,335,393.47
  5. Step 5: Solve for x
    x = 4,335,393.47/2,136.69
  6. Step 6: Final answer
    x = 2,029.02

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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.