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Finding the Fourth Proportional to 2,310.67, 3,188.68 and 1,262.71

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Solution

The fourth proportional to 2,310.67, 3,188.68 and 1,262.71 is: 1,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.67 : 3,188.68 = 1,262.71 : x
  2. Step 2: Convert to fraction form
    2,310.67/3,188.68 = 1,262.71/x
  3. Step 3: Cross multiply
    2,310.67x = 3,188.68 × 1,262.71
  4. Step 4: Simplify right side
    2,310.67x = 4,026,378.12
  5. Step 5: Solve for x
    x = 4,026,378.12/2,310.67
  6. Step 6: Final answer
    x = 1,742.52

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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.