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Finding the Fourth Proportional to 4,141.86, 6,212.84 and 1,220.22

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Solution

The fourth proportional to 4,141.86, 6,212.84 and 1,220.22 is: 1,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.86 : 6,212.84 = 1,220.22 : x
  2. Step 2: Convert to fraction form
    4,141.86/6,212.84 = 1,220.22/x
  3. Step 3: Cross multiply
    4,141.86x = 6,212.84 × 1,220.22
  4. Step 4: Simplify right side
    4,141.86x = 7,581,031.62
  5. Step 5: Solve for x
    x = 7,581,031.62/4,141.86
  6. Step 6: Final answer
    x = 1,830.34

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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.