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Finding the Fourth Proportional to 3,614.92, 5,422.39 and 1,017.86

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Solution

The fourth proportional to 3,614.92, 5,422.39 and 1,017.86 is: 1,526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.92 : 5,422.39 = 1,017.86 : x
  2. Step 2: Convert to fraction form
    3,614.92/5,422.39 = 1,017.86/x
  3. Step 3: Cross multiply
    3,614.92x = 5,422.39 × 1,017.86
  4. Step 4: Simplify right side
    3,614.92x = 5,519,233.89
  5. Step 5: Solve for x
    x = 5,519,233.89/3,614.92
  6. Step 6: Final answer
    x = 1,526.79

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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.