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Finding the Fourth Proportional to 3,353.50, 4,626.76 and 1,937

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Solution

The fourth proportional to 3,353.50, 4,626.76 and 1,937 is: 2,672.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.50 : 4,626.76 = 1,937 : x
  2. Step 2: Convert to fraction form
    3,353.50/4,626.76 = 1,937/x
  3. Step 3: Cross multiply
    3,353.50x = 4,626.76 × 1,937
  4. Step 4: Simplify right side
    3,353.50x = 8,962,024.44
  5. Step 5: Solve for x
    x = 8,962,024.44/3,353.50
  6. Step 6: Final answer
    x = 2,672.44

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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.