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Finding the Fourth Proportional to 4,309.60, 6,466.60 and 1,846.48

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Solution

The fourth proportional to 4,309.60, 6,466.60 and 1,846.48 is: 2,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.60 : 6,466.60 = 1,846.48 : x
  2. Step 2: Convert to fraction form
    4,309.60/6,466.60 = 1,846.48/x
  3. Step 3: Cross multiply
    4,309.60x = 6,466.60 × 1,846.48
  4. Step 4: Simplify right side
    4,309.60x = 11,940,447.57
  5. Step 5: Solve for x
    x = 11,940,447.57/4,309.60
  6. Step 6: Final answer
    x = 2,770.66

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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.