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Finding the Fourth Proportional to 2,209.02, 3,313.93 and 909.78

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Solution

The fourth proportional to 2,209.02, 3,313.93 and 909.78 is: 1,364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.02 : 3,313.93 = 909.78 : x
  2. Step 2: Convert to fraction form
    2,209.02/3,313.93 = 909.78/x
  3. Step 3: Cross multiply
    2,209.02x = 3,313.93 × 909.78
  4. Step 4: Simplify right side
    2,209.02x = 3,014,926.12
  5. Step 5: Solve for x
    x = 3,014,926.12/2,209.02
  6. Step 6: Final answer
    x = 1,364.83

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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.