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Finding the Fourth Proportional to 3,398.63, 4,691.28 and 2,141.81

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Solution

The fourth proportional to 3,398.63, 4,691.28 and 2,141.81 is: 2,956.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.63 : 4,691.28 = 2,141.81 : x
  2. Step 2: Convert to fraction form
    3,398.63/4,691.28 = 2,141.81/x
  3. Step 3: Cross multiply
    3,398.63x = 4,691.28 × 2,141.81
  4. Step 4: Simplify right side
    3,398.63x = 10,047,796.25
  5. Step 5: Solve for x
    x = 10,047,796.25/3,398.63
  6. Step 6: Final answer
    x = 2,956.43

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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.