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Finding the Fourth Proportional to 3,481.17, 4,802.84 and 1,988.02

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Solution

The fourth proportional to 3,481.17, 4,802.84 and 1,988.02 is: 2,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.17 : 4,802.84 = 1,988.02 : x
  2. Step 2: Convert to fraction form
    3,481.17/4,802.84 = 1,988.02/x
  3. Step 3: Cross multiply
    3,481.17x = 4,802.84 × 1,988.02
  4. Step 4: Simplify right side
    3,481.17x = 9,548,141.98
  5. Step 5: Solve for x
    x = 9,548,141.98/3,481.17
  6. Step 6: Final answer
    x = 2,742.80

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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.