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Finding the Fourth Proportional to 3,193.88, 4,406.46 and 2,076.23

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Solution

The fourth proportional to 3,193.88, 4,406.46 and 2,076.23 is: 2,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.88 : 4,406.46 = 2,076.23 : x
  2. Step 2: Convert to fraction form
    3,193.88/4,406.46 = 2,076.23/x
  3. Step 3: Cross multiply
    3,193.88x = 4,406.46 × 2,076.23
  4. Step 4: Simplify right side
    3,193.88x = 9,148,824.45
  5. Step 5: Solve for x
    x = 9,148,824.45/3,193.88
  6. Step 6: Final answer
    x = 2,864.49

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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.