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Finding the Fourth Proportional to 1,292.96, 1,928.72 and 1,169.84

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Solution

The fourth proportional to 1,292.96, 1,928.72 and 1,169.84 is: 1,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.96 : 1,928.72 = 1,169.84 : x
  2. Step 2: Convert to fraction form
    1,292.96/1,928.72 = 1,169.84/x
  3. Step 3: Cross multiply
    1,292.96x = 1,928.72 × 1,169.84
  4. Step 4: Simplify right side
    1,292.96x = 2,256,293.80
  5. Step 5: Solve for x
    x = 2,256,293.80/1,292.96
  6. Step 6: Final answer
    x = 1,745.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.