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Finding the Fourth Proportional to 2,537.54, 3,505.22 and 1,912.79

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Solution

The fourth proportional to 2,537.54, 3,505.22 and 1,912.79 is: 2,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.54 : 3,505.22 = 1,912.79 : x
  2. Step 2: Convert to fraction form
    2,537.54/3,505.22 = 1,912.79/x
  3. Step 3: Cross multiply
    2,537.54x = 3,505.22 × 1,912.79
  4. Step 4: Simplify right side
    2,537.54x = 6,704,737.02
  5. Step 5: Solve for x
    x = 6,704,737.02/2,537.54
  6. Step 6: Final answer
    x = 2,642.22

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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.