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Finding the Fourth Proportional to 3,614.46, 5,413.02 and 1,966.92

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Solution

The fourth proportional to 3,614.46, 5,413.02 and 1,966.92 is: 2,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.46 : 5,413.02 = 1,966.92 : x
  2. Step 2: Convert to fraction form
    3,614.46/5,413.02 = 1,966.92/x
  3. Step 3: Cross multiply
    3,614.46x = 5,413.02 × 1,966.92
  4. Step 4: Simplify right side
    3,614.46x = 10,646,977.30
  5. Step 5: Solve for x
    x = 10,646,977.30/3,614.46
  6. Step 6: Final answer
    x = 2,945.66

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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.