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Finding the Fourth Proportional to 2,591.33, 3,884.67 and 1,129.68

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Solution

The fourth proportional to 2,591.33, 3,884.67 and 1,129.68 is: 1,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.33 : 3,884.67 = 1,129.68 : x
  2. Step 2: Convert to fraction form
    2,591.33/3,884.67 = 1,129.68/x
  3. Step 3: Cross multiply
    2,591.33x = 3,884.67 × 1,129.68
  4. Step 4: Simplify right side
    2,591.33x = 4,388,434.01
  5. Step 5: Solve for x
    x = 4,388,434.01/2,591.33
  6. Step 6: Final answer
    x = 1,693.51

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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.