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Finding the Fourth Proportional to 2,967.63, 4,096.88 and 2,771.31

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Solution

The fourth proportional to 2,967.63, 4,096.88 and 2,771.31 is: 3,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.63 : 4,096.88 = 2,771.31 : x
  2. Step 2: Convert to fraction form
    2,967.63/4,096.88 = 2,771.31/x
  3. Step 3: Cross multiply
    2,967.63x = 4,096.88 × 2,771.31
  4. Step 4: Simplify right side
    2,967.63x = 11,353,710.66
  5. Step 5: Solve for x
    x = 11,353,710.66/2,967.63
  6. Step 6: Final answer
    x = 3,825.85

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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.