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Finding the Fourth Proportional to 3,098.82, 4,276.46 and 1,701.66

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Solution

The fourth proportional to 3,098.82, 4,276.46 and 1,701.66 is: 2,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.82 : 4,276.46 = 1,701.66 : x
  2. Step 2: Convert to fraction form
    3,098.82/4,276.46 = 1,701.66/x
  3. Step 3: Cross multiply
    3,098.82x = 4,276.46 × 1,701.66
  4. Step 4: Simplify right side
    3,098.82x = 7,277,051.03
  5. Step 5: Solve for x
    x = 7,277,051.03/3,098.82
  6. Step 6: Final answer
    x = 2,348.33

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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.