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Finding the Fourth Proportional to 1,469.83, 2,028.68 and 880.71

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Solution

The fourth proportional to 1,469.83, 2,028.68 and 880.71 is: 1,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.83 : 2,028.68 = 880.71 : x
  2. Step 2: Convert to fraction form
    1,469.83/2,028.68 = 880.71/x
  3. Step 3: Cross multiply
    1,469.83x = 2,028.68 × 880.71
  4. Step 4: Simplify right side
    1,469.83x = 1,786,667.14
  5. Step 5: Solve for x
    x = 1,786,667.14/1,469.83
  6. Step 6: Final answer
    x = 1,215.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.