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Finding the Fourth Proportional to 1,827.92, 2,735.91 and 993.73

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Solution

The fourth proportional to 1,827.92, 2,735.91 and 993.73 is: 1,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.92 : 2,735.91 = 993.73 : x
  2. Step 2: Convert to fraction form
    1,827.92/2,735.91 = 993.73/x
  3. Step 3: Cross multiply
    1,827.92x = 2,735.91 × 993.73
  4. Step 4: Simplify right side
    1,827.92x = 2,718,755.84
  5. Step 5: Solve for x
    x = 2,718,755.84/1,827.92
  6. Step 6: Final answer
    x = 1,487.35

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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.