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Finding the Fourth Proportional to 1,762.73, 2,644.97 and 788.57

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Solution

The fourth proportional to 1,762.73, 2,644.97 and 788.57 is: 1,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.73 : 2,644.97 = 788.57 : x
  2. Step 2: Convert to fraction form
    1,762.73/2,644.97 = 788.57/x
  3. Step 3: Cross multiply
    1,762.73x = 2,644.97 × 788.57
  4. Step 4: Simplify right side
    1,762.73x = 2,085,743.99
  5. Step 5: Solve for x
    x = 2,085,743.99/1,762.73
  6. Step 6: Final answer
    x = 1,183.25

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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.