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Finding the Fourth Proportional to 2,668.41, 4,003.01 and 936.63

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Solution

The fourth proportional to 2,668.41, 4,003.01 and 936.63 is: 1,405.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.41 : 4,003.01 = 936.63 : x
  2. Step 2: Convert to fraction form
    2,668.41/4,003.01 = 936.63/x
  3. Step 3: Cross multiply
    2,668.41x = 4,003.01 × 936.63
  4. Step 4: Simplify right side
    2,668.41x = 3,749,339.26
  5. Step 5: Solve for x
    x = 3,749,339.26/2,668.41
  6. Step 6: Final answer
    x = 1,405.08

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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.