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Finding the Fourth Proportional to 2,499.78, 3,749.01 and 744.31

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Solution

The fourth proportional to 2,499.78, 3,749.01 and 744.31 is: 1,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.78 : 3,749.01 = 744.31 : x
  2. Step 2: Convert to fraction form
    2,499.78/3,749.01 = 744.31/x
  3. Step 3: Cross multiply
    2,499.78x = 3,749.01 × 744.31
  4. Step 4: Simplify right side
    2,499.78x = 2,790,425.63
  5. Step 5: Solve for x
    x = 2,790,425.63/2,499.78
  6. Step 6: Final answer
    x = 1,116.27

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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.