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Finding the Fourth Proportional to 3,285.98, 4,928.63 and 1,094.47

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Solution

The fourth proportional to 3,285.98, 4,928.63 and 1,094.47 is: 1,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.98 : 4,928.63 = 1,094.47 : x
  2. Step 2: Convert to fraction form
    3,285.98/4,928.63 = 1,094.47/x
  3. Step 3: Cross multiply
    3,285.98x = 4,928.63 × 1,094.47
  4. Step 4: Simplify right side
    3,285.98x = 5,394,240.41
  5. Step 5: Solve for x
    x = 5,394,240.41/3,285.98
  6. Step 6: Final answer
    x = 1,641.59

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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.