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Finding the Fourth Proportional to 1,928.25, 2,661 and 1,142.76

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Solution

The fourth proportional to 1,928.25, 2,661 and 1,142.76 is: 1,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.25 : 2,661 = 1,142.76 : x
  2. Step 2: Convert to fraction form
    1,928.25/2,661 = 1,142.76/x
  3. Step 3: Cross multiply
    1,928.25x = 2,661 × 1,142.76
  4. Step 4: Simplify right side
    1,928.25x = 3,040,884.36
  5. Step 5: Solve for x
    x = 3,040,884.36/1,928.25
  6. Step 6: Final answer
    x = 1,577.02

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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.