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Finding the Fourth Proportional to 2,424.11, 3,635.70 and 668.68

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Solution

The fourth proportional to 2,424.11, 3,635.70 and 668.68 is: 1,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.11 : 3,635.70 = 668.68 : x
  2. Step 2: Convert to fraction form
    2,424.11/3,635.70 = 668.68/x
  3. Step 3: Cross multiply
    2,424.11x = 3,635.70 × 668.68
  4. Step 4: Simplify right side
    2,424.11x = 2,431,112.04
  5. Step 5: Solve for x
    x = 2,431,112.04/2,424.11
  6. Step 6: Final answer
    x = 1,002.89

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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.