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Finding the Fourth Proportional to 3,285.85, 4,928.63 and 1,094.50

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Solution

The fourth proportional to 3,285.85, 4,928.63 and 1,094.50 is: 1,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.85 : 4,928.63 = 1,094.50 : x
  2. Step 2: Convert to fraction form
    3,285.85/4,928.63 = 1,094.50/x
  3. Step 3: Cross multiply
    3,285.85x = 4,928.63 × 1,094.50
  4. Step 4: Simplify right side
    3,285.85x = 5,394,385.54
  5. Step 5: Solve for x
    x = 5,394,385.54/3,285.85
  6. Step 6: Final answer
    x = 1,641.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.