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Finding the Fourth Proportional to 3,204.60, 4,806.78 and 1,746.60

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Solution

The fourth proportional to 3,204.60, 4,806.78 and 1,746.60 is: 2,619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.60 : 4,806.78 = 1,746.60 : x
  2. Step 2: Convert to fraction form
    3,204.60/4,806.78 = 1,746.60/x
  3. Step 3: Cross multiply
    3,204.60x = 4,806.78 × 1,746.60
  4. Step 4: Simplify right side
    3,204.60x = 8,395,521.95
  5. Step 5: Solve for x
    x = 8,395,521.95/3,204.60
  6. Step 6: Final answer
    x = 2,619.83

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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.