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Finding the Fourth Proportional to 3,381.44, 4,663.76 and 2,202.88

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Solution

The fourth proportional to 3,381.44, 4,663.76 and 2,202.88 is: 3,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.44 : 4,663.76 = 2,202.88 : x
  2. Step 2: Convert to fraction form
    3,381.44/4,663.76 = 2,202.88/x
  3. Step 3: Cross multiply
    3,381.44x = 4,663.76 × 2,202.88
  4. Step 4: Simplify right side
    3,381.44x = 10,273,703.63
  5. Step 5: Solve for x
    x = 10,273,703.63/3,381.44
  6. Step 6: Final answer
    x = 3,038.26

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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.