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Finding the Fourth Proportional to 2,494.44, 3,741.96 and 851.28

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Solution

The fourth proportional to 2,494.44, 3,741.96 and 851.28 is: 1,277.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.44 : 3,741.96 = 851.28 : x
  2. Step 2: Convert to fraction form
    2,494.44/3,741.96 = 851.28/x
  3. Step 3: Cross multiply
    2,494.44x = 3,741.96 × 851.28
  4. Step 4: Simplify right side
    2,494.44x = 3,185,455.71
  5. Step 5: Solve for x
    x = 3,185,455.71/2,494.44
  6. Step 6: Final answer
    x = 1,277.02

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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.