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Finding the Fourth Proportional to 1,448.33, 2,171.28 and 831.83

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Solution

The fourth proportional to 1,448.33, 2,171.28 and 831.83 is: 1,247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.33 : 2,171.28 = 831.83 : x
  2. Step 2: Convert to fraction form
    1,448.33/2,171.28 = 831.83/x
  3. Step 3: Cross multiply
    1,448.33x = 2,171.28 × 831.83
  4. Step 4: Simplify right side
    1,448.33x = 1,806,124.99
  5. Step 5: Solve for x
    x = 1,806,124.99/1,448.33
  6. Step 6: Final answer
    x = 1,247.04

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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.