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Finding the Fourth Proportional to 2,493.76, 3,741.24 and 762.38

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Solution

The fourth proportional to 2,493.76, 3,741.24 and 762.38 is: 1,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.76 : 3,741.24 = 762.38 : x
  2. Step 2: Convert to fraction form
    2,493.76/3,741.24 = 762.38/x
  3. Step 3: Cross multiply
    2,493.76x = 3,741.24 × 762.38
  4. Step 4: Simplify right side
    2,493.76x = 2,852,258.76
  5. Step 5: Solve for x
    x = 2,852,258.76/2,493.76
  6. Step 6: Final answer
    x = 1,143.76

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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.