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Finding the Fourth Proportional to 1,723.14, 2,583.14 and 845.14

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Solution

The fourth proportional to 1,723.14, 2,583.14 and 845.14 is: 1,266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.14 : 2,583.14 = 845.14 : x
  2. Step 2: Convert to fraction form
    1,723.14/2,583.14 = 845.14/x
  3. Step 3: Cross multiply
    1,723.14x = 2,583.14 × 845.14
  4. Step 4: Simplify right side
    1,723.14x = 2,183,114.94
  5. Step 5: Solve for x
    x = 2,183,114.94/1,723.14
  6. Step 6: Final answer
    x = 1,266.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.