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Finding the Fourth Proportional to 2,668.34, 3,682.31 and 1,473.32

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Solution

The fourth proportional to 2,668.34, 3,682.31 and 1,473.32 is: 2,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.34 : 3,682.31 = 1,473.32 : x
  2. Step 2: Convert to fraction form
    2,668.34/3,682.31 = 1,473.32/x
  3. Step 3: Cross multiply
    2,668.34x = 3,682.31 × 1,473.32
  4. Step 4: Simplify right side
    2,668.34x = 5,425,213.60
  5. Step 5: Solve for x
    x = 5,425,213.60/2,668.34
  6. Step 6: Final answer
    x = 2,033.18

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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.