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Finding the Fourth Proportional to 3,098.63, 4,275.96 and 1,682.29

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Solution

The fourth proportional to 3,098.63, 4,275.96 and 1,682.29 is: 2,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.63 : 4,275.96 = 1,682.29 : x
  2. Step 2: Convert to fraction form
    3,098.63/4,275.96 = 1,682.29/x
  3. Step 3: Cross multiply
    3,098.63x = 4,275.96 × 1,682.29
  4. Step 4: Simplify right side
    3,098.63x = 7,193,383.37
  5. Step 5: Solve for x
    x = 7,193,383.37/3,098.63
  6. Step 6: Final answer
    x = 2,321.47

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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.