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Finding the Fourth Proportional to 1,448.80, 2,174.12 and 833.71

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Solution

The fourth proportional to 1,448.80, 2,174.12 and 833.71 is: 1,251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.80 : 2,174.12 = 833.71 : x
  2. Step 2: Convert to fraction form
    1,448.80/2,174.12 = 833.71/x
  3. Step 3: Cross multiply
    1,448.80x = 2,174.12 × 833.71
  4. Step 4: Simplify right side
    1,448.80x = 1,812,585.59
  5. Step 5: Solve for x
    x = 1,812,585.59/1,448.80
  6. Step 6: Final answer
    x = 1,251.09

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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.