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Finding the Fourth Proportional to 2,310.25, 3,188.15 and 1,262.31

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Solution

The fourth proportional to 2,310.25, 3,188.15 and 1,262.31 is: 1,741.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.25 : 3,188.15 = 1,262.31 : x
  2. Step 2: Convert to fraction form
    2,310.25/3,188.15 = 1,262.31/x
  3. Step 3: Cross multiply
    2,310.25x = 3,188.15 × 1,262.31
  4. Step 4: Simplify right side
    2,310.25x = 4,024,433.63
  5. Step 5: Solve for x
    x = 4,024,433.63/2,310.25
  6. Step 6: Final answer
    x = 1,741.99

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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.