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Finding the Fourth Proportional to 2,310.57, 3,188.58 and 1,262.64

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Solution

The fourth proportional to 2,310.57, 3,188.58 and 1,262.64 is: 1,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.57 : 3,188.58 = 1,262.64 : x
  2. Step 2: Convert to fraction form
    2,310.57/3,188.58 = 1,262.64/x
  3. Step 3: Cross multiply
    2,310.57x = 3,188.58 × 1,262.64
  4. Step 4: Simplify right side
    2,310.57x = 4,026,006.40
  5. Step 5: Solve for x
    x = 4,026,006.40/2,310.57
  6. Step 6: Final answer
    x = 1,742.43

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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.