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Finding the Fourth Proportional to 1,834.34, 2,751.34 and 517.99

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Solution

The fourth proportional to 1,834.34, 2,751.34 and 517.99 is: 776.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.34 : 2,751.34 = 517.99 : x
  2. Step 2: Convert to fraction form
    1,834.34/2,751.34 = 517.99/x
  3. Step 3: Cross multiply
    1,834.34x = 2,751.34 × 517.99
  4. Step 4: Simplify right side
    1,834.34x = 1,425,166.61
  5. Step 5: Solve for x
    x = 1,425,166.61/1,834.34
  6. Step 6: Final answer
    x = 776.94

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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.