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Finding the Fourth Proportional to 3,098.69, 4,276.14 and 1,682.35

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Solution

The fourth proportional to 3,098.69, 4,276.14 and 1,682.35 is: 2,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.69 : 4,276.14 = 1,682.35 : x
  2. Step 2: Convert to fraction form
    3,098.69/4,276.14 = 1,682.35/x
  3. Step 3: Cross multiply
    3,098.69x = 4,276.14 × 1,682.35
  4. Step 4: Simplify right side
    3,098.69x = 7,193,964.13
  5. Step 5: Solve for x
    x = 7,193,964.13/3,098.69
  6. Step 6: Final answer
    x = 2,321.61

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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.