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Finding the Fourth Proportional to 2,745.07, 4,117.61 and 665.07

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Solution

The fourth proportional to 2,745.07, 4,117.61 and 665.07 is: 997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.07 : 4,117.61 = 665.07 : x
  2. Step 2: Convert to fraction form
    2,745.07/4,117.61 = 665.07/x
  3. Step 3: Cross multiply
    2,745.07x = 4,117.61 × 665.07
  4. Step 4: Simplify right side
    2,745.07x = 2,738,500.55
  5. Step 5: Solve for x
    x = 2,738,500.55/2,745.07
  6. Step 6: Final answer
    x = 997.61

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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.