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Finding the Fourth Proportional to 3,453.98, 4,765.95 and 1,941.48

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Solution

The fourth proportional to 3,453.98, 4,765.95 and 1,941.48 is: 2,678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.98 : 4,765.95 = 1,941.48 : x
  2. Step 2: Convert to fraction form
    3,453.98/4,765.95 = 1,941.48/x
  3. Step 3: Cross multiply
    3,453.98x = 4,765.95 × 1,941.48
  4. Step 4: Simplify right side
    3,453.98x = 9,252,996.61
  5. Step 5: Solve for x
    x = 9,252,996.61/3,453.98
  6. Step 6: Final answer
    x = 2,678.94

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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.