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Finding the Fourth Proportional to 3,102.01, 4,279.53 and 1,982.66

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Solution

The fourth proportional to 3,102.01, 4,279.53 and 1,982.66 is: 2,735.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.01 : 4,279.53 = 1,982.66 : x
  2. Step 2: Convert to fraction form
    3,102.01/4,279.53 = 1,982.66/x
  3. Step 3: Cross multiply
    3,102.01x = 4,279.53 × 1,982.66
  4. Step 4: Simplify right side
    3,102.01x = 8,484,852.95
  5. Step 5: Solve for x
    x = 8,484,852.95/3,102.01
  6. Step 6: Final answer
    x = 2,735.28

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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.