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Finding the Fourth Proportional to 2,675.92, 4,013.58 and 727.99

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Solution

The fourth proportional to 2,675.92, 4,013.58 and 727.99 is: 1,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.92 : 4,013.58 = 727.99 : x
  2. Step 2: Convert to fraction form
    2,675.92/4,013.58 = 727.99/x
  3. Step 3: Cross multiply
    2,675.92x = 4,013.58 × 727.99
  4. Step 4: Simplify right side
    2,675.92x = 2,921,846.10
  5. Step 5: Solve for x
    x = 2,921,846.10/2,675.92
  6. Step 6: Final answer
    x = 1,091.90

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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.