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Finding the Fourth Proportional to 1,928.54, 2,661.18 and 1,220.12

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Solution

The fourth proportional to 1,928.54, 2,661.18 and 1,220.12 is: 1,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.54 : 2,661.18 = 1,220.12 : x
  2. Step 2: Convert to fraction form
    1,928.54/2,661.18 = 1,220.12/x
  3. Step 3: Cross multiply
    1,928.54x = 2,661.18 × 1,220.12
  4. Step 4: Simplify right side
    1,928.54x = 3,246,958.94
  5. Step 5: Solve for x
    x = 3,246,958.94/1,928.54
  6. Step 6: Final answer
    x = 1,683.64

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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.