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Finding the Fourth Proportional to 2,134.48, 3,198.48 and 1,584.09

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Solution

The fourth proportional to 2,134.48, 3,198.48 and 1,584.09 is: 2,373.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.48 : 3,198.48 = 1,584.09 : x
  2. Step 2: Convert to fraction form
    2,134.48/3,198.48 = 1,584.09/x
  3. Step 3: Cross multiply
    2,134.48x = 3,198.48 × 1,584.09
  4. Step 4: Simplify right side
    2,134.48x = 5,066,680.18
  5. Step 5: Solve for x
    x = 5,066,680.18/2,134.48
  6. Step 6: Final answer
    x = 2,373.73

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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.