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Finding the Fourth Proportional to 3,601.69, 4,970.43 and 2,029.84

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Solution

The fourth proportional to 3,601.69, 4,970.43 and 2,029.84 is: 2,801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.69 : 4,970.43 = 2,029.84 : x
  2. Step 2: Convert to fraction form
    3,601.69/4,970.43 = 2,029.84/x
  3. Step 3: Cross multiply
    3,601.69x = 4,970.43 × 2,029.84
  4. Step 4: Simplify right side
    3,601.69x = 10,089,177.63
  5. Step 5: Solve for x
    x = 10,089,177.63/3,601.69
  6. Step 6: Final answer
    x = 2,801.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.