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Finding the Fourth Proportional to 2,493.36, 3,740.62 and 761.96

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Solution

The fourth proportional to 2,493.36, 3,740.62 and 761.96 is: 1,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.36 : 3,740.62 = 761.96 : x
  2. Step 2: Convert to fraction form
    2,493.36/3,740.62 = 761.96/x
  3. Step 3: Cross multiply
    2,493.36x = 3,740.62 × 761.96
  4. Step 4: Simplify right side
    2,493.36x = 2,850,202.82
  5. Step 5: Solve for x
    x = 2,850,202.82/2,493.36
  6. Step 6: Final answer
    x = 1,143.12

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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.