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Finding the Fourth Proportional to 1,834.66, 2,751.99 and 536.14

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Solution

The fourth proportional to 1,834.66, 2,751.99 and 536.14 is: 804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.66 : 2,751.99 = 536.14 : x
  2. Step 2: Convert to fraction form
    1,834.66/2,751.99 = 536.14/x
  3. Step 3: Cross multiply
    1,834.66x = 2,751.99 × 536.14
  4. Step 4: Simplify right side
    1,834.66x = 1,475,451.92
  5. Step 5: Solve for x
    x = 1,475,451.92/1,834.66
  6. Step 6: Final answer
    x = 804.21

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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.