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Finding the Fourth Proportional to 1,900.40, 2,849.23 and 1,282.56

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Solution

The fourth proportional to 1,900.40, 2,849.23 and 1,282.56 is: 1,922.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.40 : 2,849.23 = 1,282.56 : x
  2. Step 2: Convert to fraction form
    1,900.40/2,849.23 = 1,282.56/x
  3. Step 3: Cross multiply
    1,900.40x = 2,849.23 × 1,282.56
  4. Step 4: Simplify right side
    1,900.40x = 3,654,308.43
  5. Step 5: Solve for x
    x = 3,654,308.43/1,900.40
  6. Step 6: Final answer
    x = 1,922.92

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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.