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Finding the Fourth Proportional to 2,928.54, 4,392.82 and 1,078.85

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Solution

The fourth proportional to 2,928.54, 4,392.82 and 1,078.85 is: 1,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.54 : 4,392.82 = 1,078.85 : x
  2. Step 2: Convert to fraction form
    2,928.54/4,392.82 = 1,078.85/x
  3. Step 3: Cross multiply
    2,928.54x = 4,392.82 × 1,078.85
  4. Step 4: Simplify right side
    2,928.54x = 4,739,200.12
  5. Step 5: Solve for x
    x = 4,739,200.12/2,928.54
  6. Step 6: Final answer
    x = 1,618.28

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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.