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Finding the Fourth Proportional to 3,104.55, 4,282.56 and 1,968.17

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Solution

The fourth proportional to 3,104.55, 4,282.56 and 1,968.17 is: 2,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.55 : 4,282.56 = 1,968.17 : x
  2. Step 2: Convert to fraction form
    3,104.55/4,282.56 = 1,968.17/x
  3. Step 3: Cross multiply
    3,104.55x = 4,282.56 × 1,968.17
  4. Step 4: Simplify right side
    3,104.55x = 8,428,784.70
  5. Step 5: Solve for x
    x = 8,428,784.70/3,104.55
  6. Step 6: Final answer
    x = 2,714.98

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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.