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Finding the Fourth Proportional to 1,834.10, 2,751.42 and 664.19

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Solution

The fourth proportional to 1,834.10, 2,751.42 and 664.19 is: 996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.10 : 2,751.42 = 664.19 : x
  2. Step 2: Convert to fraction form
    1,834.10/2,751.42 = 664.19/x
  3. Step 3: Cross multiply
    1,834.10x = 2,751.42 × 664.19
  4. Step 4: Simplify right side
    1,834.10x = 1,827,448.57
  5. Step 5: Solve for x
    x = 1,827,448.57/1,834.10
  6. Step 6: Final answer
    x = 996.38

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1.5x scale

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.