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Finding the Fourth Proportional to 2,273.52, 3,136.40 and 1,476.78

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Solution

The fourth proportional to 2,273.52, 3,136.40 and 1,476.78 is: 2,037.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.52 : 3,136.40 = 1,476.78 : x
  2. Step 2: Convert to fraction form
    2,273.52/3,136.40 = 1,476.78/x
  3. Step 3: Cross multiply
    2,273.52x = 3,136.40 × 1,476.78
  4. Step 4: Simplify right side
    2,273.52x = 4,631,765.41
  5. Step 5: Solve for x
    x = 4,631,765.41/2,273.52
  6. Step 6: Final answer
    x = 2,037.27

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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.