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Finding the Fourth Proportional to 2,835.74, 3,912.97 and 1,576.63

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Solution

The fourth proportional to 2,835.74, 3,912.97 and 1,576.63 is: 2,175.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.74 : 3,912.97 = 1,576.63 : x
  2. Step 2: Convert to fraction form
    2,835.74/3,912.97 = 1,576.63/x
  3. Step 3: Cross multiply
    2,835.74x = 3,912.97 × 1,576.63
  4. Step 4: Simplify right side
    2,835.74x = 6,169,305.89
  5. Step 5: Solve for x
    x = 6,169,305.89/2,835.74
  6. Step 6: Final answer
    x = 2,175.55

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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.