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Finding the Fourth Proportional to 2,206.53, 3,326.20 and 1,900.89

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Solution

The fourth proportional to 2,206.53, 3,326.20 and 1,900.89 is: 2,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.53 : 3,326.20 = 1,900.89 : x
  2. Step 2: Convert to fraction form
    2,206.53/3,326.20 = 1,900.89/x
  3. Step 3: Cross multiply
    2,206.53x = 3,326.20 × 1,900.89
  4. Step 4: Simplify right side
    2,206.53x = 6,322,735.57
  5. Step 5: Solve for x
    x = 6,322,735.57/2,206.53
  6. Step 6: Final answer
    x = 2,865.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.