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Finding the Fourth Proportional to 2,668.24, 3,682.18 and 1,489.40

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Solution

The fourth proportional to 2,668.24, 3,682.18 and 1,489.40 is: 2,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.24 : 3,682.18 = 1,489.40 : x
  2. Step 2: Convert to fraction form
    2,668.24/3,682.18 = 1,489.40/x
  3. Step 3: Cross multiply
    2,668.24x = 3,682.18 × 1,489.40
  4. Step 4: Simplify right side
    2,668.24x = 5,484,238.89
  5. Step 5: Solve for x
    x = 5,484,238.89/2,668.24
  6. Step 6: Final answer
    x = 2,055.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.