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Finding the Fourth Proportional to 1,717.75, 2,576.82 and 1,287.64

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Solution

The fourth proportional to 1,717.75, 2,576.82 and 1,287.64 is: 1,931.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.75 : 2,576.82 = 1,287.64 : x
  2. Step 2: Convert to fraction form
    1,717.75/2,576.82 = 1,287.64/x
  3. Step 3: Cross multiply
    1,717.75x = 2,576.82 × 1,287.64
  4. Step 4: Simplify right side
    1,717.75x = 3,318,003.62
  5. Step 5: Solve for x
    x = 3,318,003.62/1,717.75
  6. Step 6: Final answer
    x = 1,931.60

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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.