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Finding the Fourth Proportional to 2,711.67, 3,745.62 and 2,004.95

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Solution

The fourth proportional to 2,711.67, 3,745.62 and 2,004.95 is: 2,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.67 : 3,745.62 = 2,004.95 : x
  2. Step 2: Convert to fraction form
    2,711.67/3,745.62 = 2,004.95/x
  3. Step 3: Cross multiply
    2,711.67x = 3,745.62 × 2,004.95
  4. Step 4: Simplify right side
    2,711.67x = 7,509,762.09
  5. Step 5: Solve for x
    x = 7,509,762.09/2,711.67
  6. Step 6: Final answer
    x = 2,769.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.