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Finding the Fourth Proportional to 2,716.53, 4,072.96 and 1,072.63

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Solution

The fourth proportional to 2,716.53, 4,072.96 and 1,072.63 is: 1,608.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.53 : 4,072.96 = 1,072.63 : x
  2. Step 2: Convert to fraction form
    2,716.53/4,072.96 = 1,072.63/x
  3. Step 3: Cross multiply
    2,716.53x = 4,072.96 × 1,072.63
  4. Step 4: Simplify right side
    2,716.53x = 4,368,779.08
  5. Step 5: Solve for x
    x = 4,368,779.08/2,716.53
  6. Step 6: Final answer
    x = 1,608.22

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Why These Related Problems?

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