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Finding the Fourth Proportional to 3,281.75, 4,924.08 and 1,721.39

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Solution

The fourth proportional to 3,281.75, 4,924.08 and 1,721.39 is: 2,582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.75 : 4,924.08 = 1,721.39 : x
  2. Step 2: Convert to fraction form
    3,281.75/4,924.08 = 1,721.39/x
  3. Step 3: Cross multiply
    3,281.75x = 4,924.08 × 1,721.39
  4. Step 4: Simplify right side
    3,281.75x = 8,476,237.45
  5. Step 5: Solve for x
    x = 8,476,237.45/3,281.75
  6. Step 6: Final answer
    x = 2,582.84

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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.