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Finding the Fourth Proportional to 2,902.46, 4,006.08 and 1,909.09

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Solution

The fourth proportional to 2,902.46, 4,006.08 and 1,909.09 is: 2,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.46 : 4,006.08 = 1,909.09 : x
  2. Step 2: Convert to fraction form
    2,902.46/4,006.08 = 1,909.09/x
  3. Step 3: Cross multiply
    2,902.46x = 4,006.08 × 1,909.09
  4. Step 4: Simplify right side
    2,902.46x = 7,647,967.27
  5. Step 5: Solve for x
    x = 7,647,967.27/2,902.46
  6. Step 6: Final answer
    x = 2,634.99

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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.