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Finding the Fourth Proportional to 2,310.66, 3,188.70 and 1,262.73

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Solution

The fourth proportional to 2,310.66, 3,188.70 and 1,262.73 is: 1,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.66 : 3,188.70 = 1,262.73 : x
  2. Step 2: Convert to fraction form
    2,310.66/3,188.70 = 1,262.73/x
  3. Step 3: Cross multiply
    2,310.66x = 3,188.70 × 1,262.73
  4. Step 4: Simplify right side
    2,310.66x = 4,026,467.15
  5. Step 5: Solve for x
    x = 4,026,467.15/2,310.66
  6. Step 6: Final answer
    x = 1,742.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.