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Finding the Fourth Proportional to 2,140.80, 3,212.12 and 909.04

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Solution

The fourth proportional to 2,140.80, 3,212.12 and 909.04 is: 1,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.80 : 3,212.12 = 909.04 : x
  2. Step 2: Convert to fraction form
    2,140.80/3,212.12 = 909.04/x
  3. Step 3: Cross multiply
    2,140.80x = 3,212.12 × 909.04
  4. Step 4: Simplify right side
    2,140.80x = 2,919,945.56
  5. Step 5: Solve for x
    x = 2,919,945.56/2,140.80
  6. Step 6: Final answer
    x = 1,363.95

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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.