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Finding the Fourth Proportional to 1,834.29, 2,751.41 and 601.41

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Solution

The fourth proportional to 1,834.29, 2,751.41 and 601.41 is: 902.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.29 : 2,751.41 = 601.41 : x
  2. Step 2: Convert to fraction form
    1,834.29/2,751.41 = 601.41/x
  3. Step 3: Cross multiply
    1,834.29x = 2,751.41 × 601.41
  4. Step 4: Simplify right side
    1,834.29x = 1,654,722.48
  5. Step 5: Solve for x
    x = 1,654,722.48/1,834.29
  6. Step 6: Final answer
    x = 902.11

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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.