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Finding the Fourth Proportional to 2,273.81, 3,137.90 and 1,389.43

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Solution

The fourth proportional to 2,273.81, 3,137.90 and 1,389.43 is: 1,917.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.81 : 3,137.90 = 1,389.43 : x
  2. Step 2: Convert to fraction form
    2,273.81/3,137.90 = 1,389.43/x
  3. Step 3: Cross multiply
    2,273.81x = 3,137.90 × 1,389.43
  4. Step 4: Simplify right side
    2,273.81x = 4,359,877.61
  5. Step 5: Solve for x
    x = 4,359,877.61/2,273.81
  6. Step 6: Final answer
    x = 1,917.43

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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.