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Finding the Fourth Proportional to 3,337.50, 4,606 and 1,845.48

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Solution

The fourth proportional to 3,337.50, 4,606 and 1,845.48 is: 2,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.50 : 4,606 = 1,845.48 : x
  2. Step 2: Convert to fraction form
    3,337.50/4,606 = 1,845.48/x
  3. Step 3: Cross multiply
    3,337.50x = 4,606 × 1,845.48
  4. Step 4: Simplify right side
    3,337.50x = 8,500,280.88
  5. Step 5: Solve for x
    x = 8,500,280.88/3,337.50
  6. Step 6: Final answer
    x = 2,546.90

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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.