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Finding the Fourth Proportional to 2,668.45, 3,682.71 and 1,473.65

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Solution

The fourth proportional to 2,668.45, 3,682.71 and 1,473.65 is: 2,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.45 : 3,682.71 = 1,473.65 : x
  2. Step 2: Convert to fraction form
    2,668.45/3,682.71 = 1,473.65/x
  3. Step 3: Cross multiply
    2,668.45x = 3,682.71 × 1,473.65
  4. Step 4: Simplify right side
    2,668.45x = 5,427,018.22
  5. Step 5: Solve for x
    x = 5,427,018.22/2,668.45
  6. Step 6: Final answer
    x = 2,033.77

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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.