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Finding the Fourth Proportional to 2,902.89, 4,006.01 and 1,576.61

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Solution

The fourth proportional to 2,902.89, 4,006.01 and 1,576.61 is: 2,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.89 : 4,006.01 = 1,576.61 : x
  2. Step 2: Convert to fraction form
    2,902.89/4,006.01 = 1,576.61/x
  3. Step 3: Cross multiply
    2,902.89x = 4,006.01 × 1,576.61
  4. Step 4: Simplify right side
    2,902.89x = 6,315,928.03
  5. Step 5: Solve for x
    x = 6,315,928.03/2,902.89
  6. Step 6: Final answer
    x = 2,175.74

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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.