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Finding the Fourth Proportional to 1,834.82, 2,529.52 and 1,777.38

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Solution

The fourth proportional to 1,834.82, 2,529.52 and 1,777.38 is: 2,450.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.82 : 2,529.52 = 1,777.38 : x
  2. Step 2: Convert to fraction form
    1,834.82/2,529.52 = 1,777.38/x
  3. Step 3: Cross multiply
    1,834.82x = 2,529.52 × 1,777.38
  4. Step 4: Simplify right side
    1,834.82x = 4,495,918.26
  5. Step 5: Solve for x
    x = 4,495,918.26/1,834.82
  6. Step 6: Final answer
    x = 2,450.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.