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Finding the Fourth Proportional to 2,715.87, 4,072.43 and 1,327.13

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Solution

The fourth proportional to 2,715.87, 4,072.43 and 1,327.13 is: 1,990.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.87 : 4,072.43 = 1,327.13 : x
  2. Step 2: Convert to fraction form
    2,715.87/4,072.43 = 1,327.13/x
  3. Step 3: Cross multiply
    2,715.87x = 4,072.43 × 1,327.13
  4. Step 4: Simplify right side
    2,715.87x = 5,404,617.03
  5. Step 5: Solve for x
    x = 5,404,617.03/2,715.87
  6. Step 6: Final answer
    x = 1,990.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.