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Finding the Fourth Proportional to 2,168.35, 3,254.14 and 1,347.82

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Solution

The fourth proportional to 2,168.35, 3,254.14 and 1,347.82 is: 2,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.35 : 3,254.14 = 1,347.82 : x
  2. Step 2: Convert to fraction form
    2,168.35/3,254.14 = 1,347.82/x
  3. Step 3: Cross multiply
    2,168.35x = 3,254.14 × 1,347.82
  4. Step 4: Simplify right side
    2,168.35x = 4,385,994.97
  5. Step 5: Solve for x
    x = 4,385,994.97/2,168.35
  6. Step 6: Final answer
    x = 2,022.73

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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.