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Finding the Fourth Proportional to 3,204.58, 4,806.78 and 1,746.58

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Solution

The fourth proportional to 3,204.58, 4,806.78 and 1,746.58 is: 2,619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.58 : 4,806.78 = 1,746.58 : x
  2. Step 2: Convert to fraction form
    3,204.58/4,806.78 = 1,746.58/x
  3. Step 3: Cross multiply
    3,204.58x = 4,806.78 × 1,746.58
  4. Step 4: Simplify right side
    3,204.58x = 8,395,425.81
  5. Step 5: Solve for x
    x = 8,395,425.81/3,204.58
  6. Step 6: Final answer
    x = 2,619.82

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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.