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Finding the Fourth Proportional to 2,668.97, 3,683 and 1,473.91

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Solution

The fourth proportional to 2,668.97, 3,683 and 1,473.91 is: 2,033.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.97 : 3,683 = 1,473.91 : x
  2. Step 2: Convert to fraction form
    2,668.97/3,683 = 1,473.91/x
  3. Step 3: Cross multiply
    2,668.97x = 3,683 × 1,473.91
  4. Step 4: Simplify right side
    2,668.97x = 5,428,392.12
  5. Step 5: Solve for x
    x = 5,428,392.12/2,668.97
  6. Step 6: Final answer
    x = 2,033.89

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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.