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Finding the Fourth Proportional to 3,098.79, 4,276.18 and 1,682.44

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Solution

The fourth proportional to 3,098.79, 4,276.18 and 1,682.44 is: 2,321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.79 : 4,276.18 = 1,682.44 : x
  2. Step 2: Convert to fraction form
    3,098.79/4,276.18 = 1,682.44/x
  3. Step 3: Cross multiply
    3,098.79x = 4,276.18 × 1,682.44
  4. Step 4: Simplify right side
    3,098.79x = 7,194,416.28
  5. Step 5: Solve for x
    x = 7,194,416.28/3,098.79
  6. Step 6: Final answer
    x = 2,321.69

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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.