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Finding the Fourth Proportional to 3,343.71, 4,613.14 and 2,083.74

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Solution

The fourth proportional to 3,343.71, 4,613.14 and 2,083.74 is: 2,874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.71 : 4,613.14 = 2,083.74 : x
  2. Step 2: Convert to fraction form
    3,343.71/4,613.14 = 2,083.74/x
  3. Step 3: Cross multiply
    3,343.71x = 4,613.14 × 2,083.74
  4. Step 4: Simplify right side
    3,343.71x = 9,612,584.34
  5. Step 5: Solve for x
    x = 9,612,584.34/3,343.71
  6. Step 6: Final answer
    x = 2,874.83

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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.