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Finding the Fourth Proportional to 2,669.22, 4,004.64 and 937.62

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Solution

The fourth proportional to 2,669.22, 4,004.64 and 937.62 is: 1,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.22 : 4,004.64 = 937.62 : x
  2. Step 2: Convert to fraction form
    2,669.22/4,004.64 = 937.62/x
  3. Step 3: Cross multiply
    2,669.22x = 4,004.64 × 937.62
  4. Step 4: Simplify right side
    2,669.22x = 3,754,830.56
  5. Step 5: Solve for x
    x = 3,754,830.56/2,669.22
  6. Step 6: Final answer
    x = 1,406.71

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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.