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Finding the Fourth Proportional to 2,771.68, 3,824.76 and 1,529.68

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Solution

The fourth proportional to 2,771.68, 3,824.76 and 1,529.68 is: 2,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.68 : 3,824.76 = 1,529.68 : x
  2. Step 2: Convert to fraction form
    2,771.68/3,824.76 = 1,529.68/x
  3. Step 3: Cross multiply
    2,771.68x = 3,824.76 × 1,529.68
  4. Step 4: Simplify right side
    2,771.68x = 5,850,658.88
  5. Step 5: Solve for x
    x = 5,850,658.88/2,771.68
  6. Step 6: Final answer
    x = 2,110.87

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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.