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Finding the Fourth Proportional to 2,494.47, 3,741.89 and 764.31

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Solution

The fourth proportional to 2,494.47, 3,741.89 and 764.31 is: 1,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.47 : 3,741.89 = 764.31 : x
  2. Step 2: Convert to fraction form
    2,494.47/3,741.89 = 764.31/x
  3. Step 3: Cross multiply
    2,494.47x = 3,741.89 × 764.31
  4. Step 4: Simplify right side
    2,494.47x = 2,859,960.12
  5. Step 5: Solve for x
    x = 2,859,960.12/2,494.47
  6. Step 6: Final answer
    x = 1,146.52

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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.