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Finding the Fourth Proportional to 2,485.74, 3,729.09 and 730.74

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Solution

The fourth proportional to 2,485.74, 3,729.09 and 730.74 is: 1,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.74 : 3,729.09 = 730.74 : x
  2. Step 2: Convert to fraction form
    2,485.74/3,729.09 = 730.74/x
  3. Step 3: Cross multiply
    2,485.74x = 3,729.09 × 730.74
  4. Step 4: Simplify right side
    2,485.74x = 2,724,995.23
  5. Step 5: Solve for x
    x = 2,724,995.23/2,485.74
  6. Step 6: Final answer
    x = 1,096.25

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Why These Related Problems?

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