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Finding the Fourth Proportional to 2,209.38, 3,312.81 and 909.33

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Solution

The fourth proportional to 2,209.38, 3,312.81 and 909.33 is: 1,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.38 : 3,312.81 = 909.33 : x
  2. Step 2: Convert to fraction form
    2,209.38/3,312.81 = 909.33/x
  3. Step 3: Cross multiply
    2,209.38x = 3,312.81 × 909.33
  4. Step 4: Simplify right side
    2,209.38x = 3,012,437.52
  5. Step 5: Solve for x
    x = 3,012,437.52/2,209.38
  6. Step 6: Final answer
    x = 1,363.48

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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.