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Finding the Fourth Proportional to 1,834.63, 2,751.38 and 518.05

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Solution

The fourth proportional to 1,834.63, 2,751.38 and 518.05 is: 776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.63 : 2,751.38 = 518.05 : x
  2. Step 2: Convert to fraction form
    1,834.63/2,751.38 = 518.05/x
  3. Step 3: Cross multiply
    1,834.63x = 2,751.38 × 518.05
  4. Step 4: Simplify right side
    1,834.63x = 1,425,342.64
  5. Step 5: Solve for x
    x = 1,425,342.64/1,834.63
  6. Step 6: Final answer
    x = 776.91

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