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Finding the Fourth Proportional to 2,668.29, 4,002.81 and 1,434.03

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Solution

The fourth proportional to 2,668.29, 4,002.81 and 1,434.03 is: 2,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.29 : 4,002.81 = 1,434.03 : x
  2. Step 2: Convert to fraction form
    2,668.29/4,002.81 = 1,434.03/x
  3. Step 3: Cross multiply
    2,668.29x = 4,002.81 × 1,434.03
  4. Step 4: Simplify right side
    2,668.29x = 5,740,149.62
  5. Step 5: Solve for x
    x = 5,740,149.62/2,668.29
  6. Step 6: Final answer
    x = 2,151.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.