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Finding the Fourth Proportional to 2,902.88, 4,002.22 and 2,107.35

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Solution

The fourth proportional to 2,902.88, 4,002.22 and 2,107.35 is: 2,905.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.88 : 4,002.22 = 2,107.35 : x
  2. Step 2: Convert to fraction form
    2,902.88/4,002.22 = 2,107.35/x
  3. Step 3: Cross multiply
    2,902.88x = 4,002.22 × 2,107.35
  4. Step 4: Simplify right side
    2,902.88x = 8,434,078.32
  5. Step 5: Solve for x
    x = 8,434,078.32/2,902.88
  6. Step 6: Final answer
    x = 2,905.42

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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.