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Finding the Fourth Proportional to 3,281.84, 4,528.84 and 1,789.78

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Solution

The fourth proportional to 3,281.84, 4,528.84 and 1,789.78 is: 2,469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.84 : 4,528.84 = 1,789.78 : x
  2. Step 2: Convert to fraction form
    3,281.84/4,528.84 = 1,789.78/x
  3. Step 3: Cross multiply
    3,281.84x = 4,528.84 × 1,789.78
  4. Step 4: Simplify right side
    3,281.84x = 8,105,627.26
  5. Step 5: Solve for x
    x = 8,105,627.26/3,281.84
  6. Step 6: Final answer
    x = 2,469.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.