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Finding the Fourth Proportional to 3,614.92, 4,982.64 and 2,419.49

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Solution

The fourth proportional to 3,614.92, 4,982.64 and 2,419.49 is: 3,334.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.92 : 4,982.64 = 2,419.49 : x
  2. Step 2: Convert to fraction form
    3,614.92/4,982.64 = 2,419.49/x
  3. Step 3: Cross multiply
    3,614.92x = 4,982.64 × 2,419.49
  4. Step 4: Simplify right side
    3,614.92x = 12,055,447.65
  5. Step 5: Solve for x
    x = 12,055,447.65/3,614.92
  6. Step 6: Final answer
    x = 3,334.91

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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.