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Finding the Fourth Proportional to 3,402.84, 5,104.62 and 1,671.96

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Solution

The fourth proportional to 3,402.84, 5,104.62 and 1,671.96 is: 2,508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.84 : 5,104.62 = 1,671.96 : x
  2. Step 2: Convert to fraction form
    3,402.84/5,104.62 = 1,671.96/x
  3. Step 3: Cross multiply
    3,402.84x = 5,104.62 × 1,671.96
  4. Step 4: Simplify right side
    3,402.84x = 8,534,720.46
  5. Step 5: Solve for x
    x = 8,534,720.46/3,402.84
  6. Step 6: Final answer
    x = 2,508.12

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Why These Related Problems?

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