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Finding the Fourth Proportional to 2,674.58, 3,689.97 and 1,743.62

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Solution

The fourth proportional to 2,674.58, 3,689.97 and 1,743.62 is: 2,405.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.58 : 3,689.97 = 1,743.62 : x
  2. Step 2: Convert to fraction form
    2,674.58/3,689.97 = 1,743.62/x
  3. Step 3: Cross multiply
    2,674.58x = 3,689.97 × 1,743.62
  4. Step 4: Simplify right side
    2,674.58x = 6,433,905.49
  5. Step 5: Solve for x
    x = 6,433,905.49/2,674.58
  6. Step 6: Final answer
    x = 2,405.58

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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.