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Finding the Fourth Proportional to 2,485.71, 3,729.24 and 2,213.69

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Solution

The fourth proportional to 2,485.71, 3,729.24 and 2,213.69 is: 3,321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.71 : 3,729.24 = 2,213.69 : x
  2. Step 2: Convert to fraction form
    2,485.71/3,729.24 = 2,213.69/x
  3. Step 3: Cross multiply
    2,485.71x = 3,729.24 × 2,213.69
  4. Step 4: Simplify right side
    2,485.71x = 8,255,381.30
  5. Step 5: Solve for x
    x = 8,255,381.30/2,485.71
  6. Step 6: Final answer
    x = 3,321.14

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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.