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Finding the Fourth Proportional to 3,358.68, 4,633.65 and 1,942.11

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Solution

The fourth proportional to 3,358.68, 4,633.65 and 1,942.11 is: 2,679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.68 : 4,633.65 = 1,942.11 : x
  2. Step 2: Convert to fraction form
    3,358.68/4,633.65 = 1,942.11/x
  3. Step 3: Cross multiply
    3,358.68x = 4,633.65 × 1,942.11
  4. Step 4: Simplify right side
    3,358.68x = 8,999,025.12
  5. Step 5: Solve for x
    x = 8,999,025.12/3,358.68
  6. Step 6: Final answer
    x = 2,679.34

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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.