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Finding the Fourth Proportional to 3,601.94, 4,970.67 and 1,945.94

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Solution

The fourth proportional to 3,601.94, 4,970.67 and 1,945.94 is: 2,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.94 : 4,970.67 = 1,945.94 : x
  2. Step 2: Convert to fraction form
    3,601.94/4,970.67 = 1,945.94/x
  3. Step 3: Cross multiply
    3,601.94x = 4,970.67 × 1,945.94
  4. Step 4: Simplify right side
    3,601.94x = 9,672,625.58
  5. Step 5: Solve for x
    x = 9,672,625.58/3,601.94
  6. Step 6: Final answer
    x = 2,685.39

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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.