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Finding the Fourth Proportional to 1,286.28, 1,929.50 and 1,220.68

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Solution

The fourth proportional to 1,286.28, 1,929.50 and 1,220.68 is: 1,831.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.28 : 1,929.50 = 1,220.68 : x
  2. Step 2: Convert to fraction form
    1,286.28/1,929.50 = 1,220.68/x
  3. Step 3: Cross multiply
    1,286.28x = 1,929.50 × 1,220.68
  4. Step 4: Simplify right side
    1,286.28x = 2,355,302.06
  5. Step 5: Solve for x
    x = 2,355,302.06/1,286.28
  6. Step 6: Final answer
    x = 1,831.10

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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.