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Finding the Fourth Proportional to 3,381.96, 4,664.46 and 2,203.41

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Solution

The fourth proportional to 3,381.96, 4,664.46 and 2,203.41 is: 3,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.96 : 4,664.46 = 2,203.41 : x
  2. Step 2: Convert to fraction form
    3,381.96/4,664.46 = 2,203.41/x
  3. Step 3: Cross multiply
    3,381.96x = 4,664.46 × 2,203.41
  4. Step 4: Simplify right side
    3,381.96x = 10,277,717.81
  5. Step 5: Solve for x
    x = 10,277,717.81/3,381.96
  6. Step 6: Final answer
    x = 3,038.98

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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.