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Finding the Fourth Proportional to 2,273.72, 3,136.62 and 1,387.99

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Solution

The fourth proportional to 2,273.72, 3,136.62 and 1,387.99 is: 1,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.72 : 3,136.62 = 1,387.99 : x
  2. Step 2: Convert to fraction form
    2,273.72/3,136.62 = 1,387.99/x
  3. Step 3: Cross multiply
    2,273.72x = 3,136.62 × 1,387.99
  4. Step 4: Simplify right side
    2,273.72x = 4,353,581.51
  5. Step 5: Solve for x
    x = 4,353,581.51/2,273.72
  6. Step 6: Final answer
    x = 1,914.74

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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.