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Finding the Fourth Proportional to 1,834.96, 2,751.88 and 1,542.55

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Solution

The fourth proportional to 1,834.96, 2,751.88 and 1,542.55 is: 2,313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.96 : 2,751.88 = 1,542.55 : x
  2. Step 2: Convert to fraction form
    1,834.96/2,751.88 = 1,542.55/x
  3. Step 3: Cross multiply
    1,834.96x = 2,751.88 × 1,542.55
  4. Step 4: Simplify right side
    1,834.96x = 4,244,912.49
  5. Step 5: Solve for x
    x = 4,244,912.49/1,834.96
  6. Step 6: Final answer
    x = 2,313.35

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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.