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Finding the Fourth Proportional to 3,076.56, 4,614.57 and 884.88

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Solution

The fourth proportional to 3,076.56, 4,614.57 and 884.88 is: 1,327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.56 : 4,614.57 = 884.88 : x
  2. Step 2: Convert to fraction form
    3,076.56/4,614.57 = 884.88/x
  3. Step 3: Cross multiply
    3,076.56x = 4,614.57 × 884.88
  4. Step 4: Simplify right side
    3,076.56x = 4,083,340.70
  5. Step 5: Solve for x
    x = 4,083,340.70/3,076.56
  6. Step 6: Final answer
    x = 1,327.24

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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.