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Finding the Fourth Proportional to 2,834.98, 3,912.25 and 1,576.02

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Solution

The fourth proportional to 2,834.98, 3,912.25 and 1,576.02 is: 2,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.98 : 3,912.25 = 1,576.02 : x
  2. Step 2: Convert to fraction form
    2,834.98/3,912.25 = 1,576.02/x
  3. Step 3: Cross multiply
    2,834.98x = 3,912.25 × 1,576.02
  4. Step 4: Simplify right side
    2,834.98x = 6,165,784.25
  5. Step 5: Solve for x
    x = 6,165,784.25/2,834.98
  6. Step 6: Final answer
    x = 2,174.90

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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.