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Finding the Fourth Proportional to 4,204.34, 6,301.90 and 1,737.82

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Solution

The fourth proportional to 4,204.34, 6,301.90 and 1,737.82 is: 2,604.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.34 : 6,301.90 = 1,737.82 : x
  2. Step 2: Convert to fraction form
    4,204.34/6,301.90 = 1,737.82/x
  3. Step 3: Cross multiply
    4,204.34x = 6,301.90 × 1,737.82
  4. Step 4: Simplify right side
    4,204.34x = 10,951,567.86
  5. Step 5: Solve for x
    x = 10,951,567.86/4,204.34
  6. Step 6: Final answer
    x = 2,604.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.