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Finding the Fourth Proportional to 2,529.90, 3,795.12 and 2,209.14

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Solution

The fourth proportional to 2,529.90, 3,795.12 and 2,209.14 is: 3,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.90 : 3,795.12 = 2,209.14 : x
  2. Step 2: Convert to fraction form
    2,529.90/3,795.12 = 2,209.14/x
  3. Step 3: Cross multiply
    2,529.90x = 3,795.12 × 2,209.14
  4. Step 4: Simplify right side
    2,529.90x = 8,383,951.40
  5. Step 5: Solve for x
    x = 8,383,951.40/2,529.90
  6. Step 6: Final answer
    x = 3,313.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.