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Finding the Fourth Proportional to 3,472.67, 4,792.10 and 1,900.46

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Solution

The fourth proportional to 3,472.67, 4,792.10 and 1,900.46 is: 2,622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.67 : 4,792.10 = 1,900.46 : x
  2. Step 2: Convert to fraction form
    3,472.67/4,792.10 = 1,900.46/x
  3. Step 3: Cross multiply
    3,472.67x = 4,792.10 × 1,900.46
  4. Step 4: Simplify right side
    3,472.67x = 9,107,194.37
  5. Step 5: Solve for x
    x = 9,107,194.37/3,472.67
  6. Step 6: Final answer
    x = 2,622.53

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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.