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Finding the Fourth Proportional to 1,887.93, 2,834.73 and 1,629.96

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Solution

The fourth proportional to 1,887.93, 2,834.73 and 1,629.96 is: 2,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.93 : 2,834.73 = 1,629.96 : x
  2. Step 2: Convert to fraction form
    1,887.93/2,834.73 = 1,629.96/x
  3. Step 3: Cross multiply
    1,887.93x = 2,834.73 × 1,629.96
  4. Step 4: Simplify right side
    1,887.93x = 4,620,496.51
  5. Step 5: Solve for x
    x = 4,620,496.51/1,887.93
  6. Step 6: Final answer
    x = 2,447.39

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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.