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Finding the Fourth Proportional to 2,668.16, 3,682.06 and 1,489.23

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Solution

The fourth proportional to 2,668.16, 3,682.06 and 1,489.23 is: 2,055.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.16 : 3,682.06 = 1,489.23 : x
  2. Step 2: Convert to fraction form
    2,668.16/3,682.06 = 1,489.23/x
  3. Step 3: Cross multiply
    2,668.16x = 3,682.06 × 1,489.23
  4. Step 4: Simplify right side
    2,668.16x = 5,483,434.21
  5. Step 5: Solve for x
    x = 5,483,434.21/2,668.16
  6. Step 6: Final answer
    x = 2,055.14

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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.