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Finding the Fourth Proportional to 1,928.96, 2,659.20 and 1,376

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Solution

The fourth proportional to 1,928.96, 2,659.20 and 1,376 is: 1,896.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.96 : 2,659.20 = 1,376 : x
  2. Step 2: Convert to fraction form
    1,928.96/2,659.20 = 1,376/x
  3. Step 3: Cross multiply
    1,928.96x = 2,659.20 × 1,376
  4. Step 4: Simplify right side
    1,928.96x = 3,659,059.20
  5. Step 5: Solve for x
    x = 3,659,059.20/1,928.96
  6. Step 6: Final answer
    x = 1,896.91

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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.