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Finding the Fourth Proportional to 2,771.58, 3,824.79 and 1,592.58

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Solution

The fourth proportional to 2,771.58, 3,824.79 and 1,592.58 is: 2,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.58 : 3,824.79 = 1,592.58 : x
  2. Step 2: Convert to fraction form
    2,771.58/3,824.79 = 1,592.58/x
  3. Step 3: Cross multiply
    2,771.58x = 3,824.79 × 1,592.58
  4. Step 4: Simplify right side
    2,771.58x = 6,091,284.35
  5. Step 5: Solve for x
    x = 6,091,284.35/2,771.58
  6. Step 6: Final answer
    x = 2,197.76

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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.