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Finding the Fourth Proportional to 2,159.42, 3,238.07 and 842.22

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Solution

The fourth proportional to 2,159.42, 3,238.07 and 842.22 is: 1,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.42 : 3,238.07 = 842.22 : x
  2. Step 2: Convert to fraction form
    2,159.42/3,238.07 = 842.22/x
  3. Step 3: Cross multiply
    2,159.42x = 3,238.07 × 842.22
  4. Step 4: Simplify right side
    2,159.42x = 2,727,163.10
  5. Step 5: Solve for x
    x = 2,727,163.10/2,159.42
  6. Step 6: Final answer
    x = 1,262.92

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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.