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Finding the Fourth Proportional to 1,716.60, 2,576.10 and 743.40

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Solution

The fourth proportional to 1,716.60, 2,576.10 and 743.40 is: 1,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.60 : 2,576.10 = 743.40 : x
  2. Step 2: Convert to fraction form
    1,716.60/2,576.10 = 743.40/x
  3. Step 3: Cross multiply
    1,716.60x = 2,576.10 × 743.40
  4. Step 4: Simplify right side
    1,716.60x = 1,915,072.74
  5. Step 5: Solve for x
    x = 1,915,072.74/1,716.60
  6. Step 6: Final answer
    x = 1,115.62

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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.