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Finding the Fourth Proportional to 2,206.38, 3,309.57 and 907.95

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Solution

The fourth proportional to 2,206.38, 3,309.57 and 907.95 is: 1,361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.38 : 3,309.57 = 907.95 : x
  2. Step 2: Convert to fraction form
    2,206.38/3,309.57 = 907.95/x
  3. Step 3: Cross multiply
    2,206.38x = 3,309.57 × 907.95
  4. Step 4: Simplify right side
    2,206.38x = 3,004,924.08
  5. Step 5: Solve for x
    x = 3,004,924.08/2,206.38
  6. Step 6: Final answer
    x = 1,361.93

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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.